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Finding the Third Proportional to 120,765.38 and 177,454.13

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Solution

The third proportional to 120,765.38 and 177,454.13 is: 260,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,765.38 : 177,454.13 = 177,454.13 : x
  2. Step 2: Convert to fraction form
    120,765.38/177,454.13 = 177,454.13/x
  3. Step 3: Cross multiply
    120,765.38x = 177,454.13 × 177,454.13
  4. Step 4: Simplify right side
    120,765.38x = 31,489,966,479.52
  5. Step 5: Solve for x
    x = 31,489,966,479.52/120,765.38
  6. Step 6: Final answer
    x = 260,753.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.