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Finding the Third Proportional to 61,732 and 135,241

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Solution

The third proportional to 61,732 and 135,241 is: 296,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,732 : 135,241 = 135,241 : x
  2. Step 2: Convert to fraction form
    61,732/135,241 = 135,241/x
  3. Step 3: Cross multiply
    61,732x = 135,241 × 135,241
  4. Step 4: Simplify right side
    61,732x = 18,290,128,081
  5. Step 5: Solve for x
    x = 18,290,128,081/61,732
  6. Step 6: Final answer
    x = 296,282.77

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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.