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Finding the Third Proportional to 61,500 and 134,394

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Solution

The third proportional to 61,500 and 134,394 is: 293,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,500 : 134,394 = 134,394 : x
  2. Step 2: Convert to fraction form
    61,500/134,394 = 134,394/x
  3. Step 3: Cross multiply
    61,500x = 134,394 × 134,394
  4. Step 4: Simplify right side
    61,500x = 18,061,747,236
  5. Step 5: Solve for x
    x = 18,061,747,236/61,500
  6. Step 6: Final answer
    x = 293,686.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.