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Finding the Third Proportional to 125,591.63 and 175,672.69

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Solution

The third proportional to 125,591.63 and 175,672.69 is: 245,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,591.63 : 175,672.69 = 175,672.69 : x
  2. Step 2: Convert to fraction form
    125,591.63/175,672.69 = 175,672.69/x
  3. Step 3: Cross multiply
    125,591.63x = 175,672.69 × 175,672.69
  4. Step 4: Simplify right side
    125,591.63x = 30,860,893,133.47
  5. Step 5: Solve for x
    x = 30,860,893,133.47/125,591.63
  6. Step 6: Final answer
    x = 245,724.13

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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.