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Finding the Third Proportional to 61,982 and 135,484

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Solution

The third proportional to 61,982 and 135,484 is: 296,149.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982 : 135,484 = 135,484 : x
  2. Step 2: Convert to fraction form
    61,982/135,484 = 135,484/x
  3. Step 3: Cross multiply
    61,982x = 135,484 × 135,484
  4. Step 4: Simplify right side
    61,982x = 18,355,914,256
  5. Step 5: Solve for x
    x = 18,355,914,256/61,982
  6. Step 6: Final answer
    x = 296,149.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.