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Finding the Third Proportional to 97,694 and 152,374

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Solution

The third proportional to 97,694 and 152,374 is: 237,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,694 : 152,374 = 152,374 : x
  2. Step 2: Convert to fraction form
    97,694/152,374 = 152,374/x
  3. Step 3: Cross multiply
    97,694x = 152,374 × 152,374
  4. Step 4: Simplify right side
    97,694x = 23,217,835,876
  5. Step 5: Solve for x
    x = 23,217,835,876/97,694
  6. Step 6: Final answer
    x = 237,658.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.