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Finding the Third Proportional to 61,096 and 94,599

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Solution

The third proportional to 61,096 and 94,599 is: 146,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,096 : 94,599 = 94,599 : x
  2. Step 2: Convert to fraction form
    61,096/94,599 = 94,599/x
  3. Step 3: Cross multiply
    61,096x = 94,599 × 94,599
  4. Step 4: Simplify right side
    61,096x = 8,948,970,801
  5. Step 5: Solve for x
    x = 8,948,970,801/61,096
  6. Step 6: Final answer
    x = 146,473.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.