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Finding the Third Proportional to 134,730 and 187,329.38

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Solution

The third proportional to 134,730 and 187,329.38 is: 260,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,730 : 187,329.38 = 187,329.38 : x
  2. Step 2: Convert to fraction form
    134,730/187,329.38 = 187,329.38/x
  3. Step 3: Cross multiply
    134,730x = 187,329.38 × 187,329.38
  4. Step 4: Simplify right side
    134,730x = 35,092,294,737.89
  5. Step 5: Solve for x
    x = 35,092,294,737.89/134,730
  6. Step 6: Final answer
    x = 260,463.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.