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Finding the Third Proportional to 71,186 and 96,528

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Solution

The third proportional to 71,186 and 96,528 is: 130,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,186 : 96,528 = 96,528 : x
  2. Step 2: Convert to fraction form
    71,186/96,528 = 96,528/x
  3. Step 3: Cross multiply
    71,186x = 96,528 × 96,528
  4. Step 4: Simplify right side
    71,186x = 9,317,654,784
  5. Step 5: Solve for x
    x = 9,317,654,784/71,186
  6. Step 6: Final answer
    x = 130,891.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.