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Finding the Third Proportional to 42,713 and 93,472

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Solution

The third proportional to 42,713 and 93,472 is: 204,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,713 : 93,472 = 93,472 : x
  2. Step 2: Convert to fraction form
    42,713/93,472 = 93,472/x
  3. Step 3: Cross multiply
    42,713x = 93,472 × 93,472
  4. Step 4: Simplify right side
    42,713x = 8,737,014,784
  5. Step 5: Solve for x
    x = 8,737,014,784/42,713
  6. Step 6: Final answer
    x = 204,551.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.