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Finding the Third Proportional to 125,592.88 and 175,674.44

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Solution

The third proportional to 125,592.88 and 175,674.44 is: 245,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,592.88 : 175,674.44 = 175,674.44 : x
  2. Step 2: Convert to fraction form
    125,592.88/175,674.44 = 175,674.44/x
  3. Step 3: Cross multiply
    125,592.88x = 175,674.44 × 175,674.44
  4. Step 4: Simplify right side
    125,592.88x = 30,861,507,990.94
  5. Step 5: Solve for x
    x = 30,861,507,990.94/125,592.88
  6. Step 6: Final answer
    x = 245,726.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.