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Finding the Third Proportional to 71,377 and 96,146

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Solution

The third proportional to 71,377 and 96,146 is: 129,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,377 : 96,146 = 96,146 : x
  2. Step 2: Convert to fraction form
    71,377/96,146 = 96,146/x
  3. Step 3: Cross multiply
    71,377x = 96,146 × 96,146
  4. Step 4: Simplify right side
    71,377x = 9,244,053,316
  5. Step 5: Solve for x
    x = 9,244,053,316/71,377
  6. Step 6: Final answer
    x = 129,510.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.