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Finding the Third Proportional to 56,464 and 84,422

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Solution

The third proportional to 56,464 and 84,422 is: 126,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,464 : 84,422 = 84,422 : x
  2. Step 2: Convert to fraction form
    56,464/84,422 = 84,422/x
  3. Step 3: Cross multiply
    56,464x = 84,422 × 84,422
  4. Step 4: Simplify right side
    56,464x = 7,127,074,084
  5. Step 5: Solve for x
    x = 7,127,074,084/56,464
  6. Step 6: Final answer
    x = 126,223.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.