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Finding the Third Proportional to 65,377 and 141,122

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Solution

The third proportional to 65,377 and 141,122 is: 304,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,377 : 141,122 = 141,122 : x
  2. Step 2: Convert to fraction form
    65,377/141,122 = 141,122/x
  3. Step 3: Cross multiply
    65,377x = 141,122 × 141,122
  4. Step 4: Simplify right side
    65,377x = 19,915,418,884
  5. Step 5: Solve for x
    x = 19,915,418,884/65,377
  6. Step 6: Final answer
    x = 304,624.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.