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Finding the Third Proportional to 61,989 and 135,498

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Solution

The third proportional to 61,989 and 135,498 is: 296,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,989 : 135,498 = 135,498 : x
  2. Step 2: Convert to fraction form
    61,989/135,498 = 135,498/x
  3. Step 3: Cross multiply
    61,989x = 135,498 × 135,498
  4. Step 4: Simplify right side
    61,989x = 18,359,708,004
  5. Step 5: Solve for x
    x = 18,359,708,004/61,989
  6. Step 6: Final answer
    x = 296,176.87

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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.