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Finding the Third Proportional to 125,585.63 and 175,663.50

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Solution

The third proportional to 125,585.63 and 175,663.50 is: 245,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,585.63 : 175,663.50 = 175,663.50 : x
  2. Step 2: Convert to fraction form
    125,585.63/175,663.50 = 175,663.50/x
  3. Step 3: Cross multiply
    125,585.63x = 175,663.50 × 175,663.50
  4. Step 4: Simplify right side
    125,585.63x = 30,857,665,232.25
  5. Step 5: Solve for x
    x = 30,857,665,232.25/125,585.63
  6. Step 6: Final answer
    x = 245,710.17

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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.