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Finding the Third Proportional to 89,776 and 136,528

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Solution

The third proportional to 89,776 and 136,528 is: 207,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,776 : 136,528 = 136,528 : x
  2. Step 2: Convert to fraction form
    89,776/136,528 = 136,528/x
  3. Step 3: Cross multiply
    89,776x = 136,528 × 136,528
  4. Step 4: Simplify right side
    89,776x = 18,639,894,784
  5. Step 5: Solve for x
    x = 18,639,894,784/89,776
  6. Step 6: Final answer
    x = 207,626.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.