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Finding the Third Proportional to 115,648.17 and 173,472.47

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Solution

The third proportional to 115,648.17 and 173,472.47 is: 260,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,648.17 : 173,472.47 = 173,472.47 : x
  2. Step 2: Convert to fraction form
    115,648.17/173,472.47 = 173,472.47/x
  3. Step 3: Cross multiply
    115,648.17x = 173,472.47 × 173,472.47
  4. Step 4: Simplify right side
    115,648.17x = 30,092,697,414.22
  5. Step 5: Solve for x
    x = 30,092,697,414.22/115,648.17
  6. Step 6: Final answer
    x = 260,209.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.