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Finding the Third Proportional to 71,466 and 141,124

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Solution

The third proportional to 71,466 and 141,124 is: 278,677.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,466 : 141,124 = 141,124 : x
  2. Step 2: Convert to fraction form
    71,466/141,124 = 141,124/x
  3. Step 3: Cross multiply
    71,466x = 141,124 × 141,124
  4. Step 4: Simplify right side
    71,466x = 19,915,983,376
  5. Step 5: Solve for x
    x = 19,915,983,376/71,466
  6. Step 6: Final answer
    x = 278,677.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.