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Finding the Third Proportional to 53,239.50 and 82,422

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Solution

The third proportional to 53,239.50 and 82,422 is: 127,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,239.50 : 82,422 = 82,422 : x
  2. Step 2: Convert to fraction form
    53,239.50/82,422 = 82,422/x
  3. Step 3: Cross multiply
    53,239.50x = 82,422 × 82,422
  4. Step 4: Simplify right side
    53,239.50x = 6,793,386,084
  5. Step 5: Solve for x
    x = 6,793,386,084/53,239.50
  6. Step 6: Final answer
    x = 127,600.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.