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Finding the Third Proportional to 61,409 and 134,524

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Solution

The third proportional to 61,409 and 134,524 is: 294,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,409 : 134,524 = 134,524 : x
  2. Step 2: Convert to fraction form
    61,409/134,524 = 134,524/x
  3. Step 3: Cross multiply
    61,409x = 134,524 × 134,524
  4. Step 4: Simplify right side
    61,409x = 18,096,706,576
  5. Step 5: Solve for x
    x = 18,096,706,576/61,409
  6. Step 6: Final answer
    x = 294,691.44

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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.