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Finding the Third Proportional to 71,365 and 93,864

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Solution

The third proportional to 71,365 and 93,864 is: 123,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,365 : 93,864 = 93,864 : x
  2. Step 2: Convert to fraction form
    71,365/93,864 = 93,864/x
  3. Step 3: Cross multiply
    71,365x = 93,864 × 93,864
  4. Step 4: Simplify right side
    71,365x = 8,810,450,496
  5. Step 5: Solve for x
    x = 8,810,450,496/71,365
  6. Step 6: Final answer
    x = 123,456.18

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.