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Finding the Third Proportional to 61,987 and 135,494

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Solution

The third proportional to 61,987 and 135,494 is: 296,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,987 : 135,494 = 135,494 : x
  2. Step 2: Convert to fraction form
    61,987/135,494 = 135,494/x
  3. Step 3: Cross multiply
    61,987x = 135,494 × 135,494
  4. Step 4: Simplify right side
    61,987x = 18,358,624,036
  5. Step 5: Solve for x
    x = 18,358,624,036/61,987
  6. Step 6: Final answer
    x = 296,168.94

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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.