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Finding the Third Proportional to 40,187 and 61,217

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Solution

The third proportional to 40,187 and 61,217 is: 93,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,187 : 61,217 = 61,217 : x
  2. Step 2: Convert to fraction form
    40,187/61,217 = 61,217/x
  3. Step 3: Cross multiply
    40,187x = 61,217 × 61,217
  4. Step 4: Simplify right side
    40,187x = 3,747,521,089
  5. Step 5: Solve for x
    x = 3,747,521,089/40,187
  6. Step 6: Final answer
    x = 93,252.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.