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Finding the Third Proportional to 57,972 and 92,217

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Solution

The third proportional to 57,972 and 92,217 is: 146,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,972 : 92,217 = 92,217 : x
  2. Step 2: Convert to fraction form
    57,972/92,217 = 92,217/x
  3. Step 3: Cross multiply
    57,972x = 92,217 × 92,217
  4. Step 4: Simplify right side
    57,972x = 8,503,975,089
  5. Step 5: Solve for x
    x = 8,503,975,089/57,972
  6. Step 6: Final answer
    x = 146,691.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.