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Finding the Third Proportional to 60,381 and 132,715

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Solution

The third proportional to 60,381 and 132,715 is: 291,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,381 : 132,715 = 132,715 : x
  2. Step 2: Convert to fraction form
    60,381/132,715 = 132,715/x
  3. Step 3: Cross multiply
    60,381x = 132,715 × 132,715
  4. Step 4: Simplify right side
    60,381x = 17,613,271,225
  5. Step 5: Solve for x
    x = 17,613,271,225/60,381
  6. Step 6: Final answer
    x = 291,702.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.