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Finding the Third Proportional to 42,497 and 93,382

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Solution

The third proportional to 42,497 and 93,382 is: 205,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,497 : 93,382 = 93,382 : x
  2. Step 2: Convert to fraction form
    42,497/93,382 = 93,382/x
  3. Step 3: Cross multiply
    42,497x = 93,382 × 93,382
  4. Step 4: Simplify right side
    42,497x = 8,720,197,924
  5. Step 5: Solve for x
    x = 8,720,197,924/42,497
  6. Step 6: Final answer
    x = 205,195.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.