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Finding the Third Proportional to 88,768 and 187,552

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Solution

The third proportional to 88,768 and 187,552 is: 396,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,768 : 187,552 = 187,552 : x
  2. Step 2: Convert to fraction form
    88,768/187,552 = 187,552/x
  3. Step 3: Cross multiply
    88,768x = 187,552 × 187,552
  4. Step 4: Simplify right side
    88,768x = 35,175,752,704
  5. Step 5: Solve for x
    x = 35,175,752,704/88,768
  6. Step 6: Final answer
    x = 396,266.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.