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Finding the Third Proportional to 62,624 and 130,418

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Solution

The third proportional to 62,624 and 130,418 is: 271,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,624 : 130,418 = 130,418 : x
  2. Step 2: Convert to fraction form
    62,624/130,418 = 130,418/x
  3. Step 3: Cross multiply
    62,624x = 130,418 × 130,418
  4. Step 4: Simplify right side
    62,624x = 17,008,854,724
  5. Step 5: Solve for x
    x = 17,008,854,724/62,624
  6. Step 6: Final answer
    x = 271,602.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.