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Finding the Third Proportional to 52,354 and 83,387

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Solution

The third proportional to 52,354 and 83,387 is: 132,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,354 : 83,387 = 83,387 : x
  2. Step 2: Convert to fraction form
    52,354/83,387 = 83,387/x
  3. Step 3: Cross multiply
    52,354x = 83,387 × 83,387
  4. Step 4: Simplify right side
    52,354x = 6,953,391,769
  5. Step 5: Solve for x
    x = 6,953,391,769/52,354
  6. Step 6: Final answer
    x = 132,814.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.