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Finding the Third Proportional to 29,114 and 62,380

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Solution

The third proportional to 29,114 and 62,380 is: 133,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114 : 62,380 = 62,380 : x
  2. Step 2: Convert to fraction form
    29,114/62,380 = 62,380/x
  3. Step 3: Cross multiply
    29,114x = 62,380 × 62,380
  4. Step 4: Simplify right side
    29,114x = 3,891,264,400
  5. Step 5: Solve for x
    x = 3,891,264,400/29,114
  6. Step 6: Final answer
    x = 133,656.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.