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Finding the Third Proportional to 61,740 and 90,422

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Solution

The third proportional to 61,740 and 90,422 is: 132,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,740 : 90,422 = 90,422 : x
  2. Step 2: Convert to fraction form
    61,740/90,422 = 90,422/x
  3. Step 3: Cross multiply
    61,740x = 90,422 × 90,422
  4. Step 4: Simplify right side
    61,740x = 8,176,138,084
  5. Step 5: Solve for x
    x = 8,176,138,084/61,740
  6. Step 6: Final answer
    x = 132,428.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.