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Finding the Third Proportional to 62,023 and 83,422

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Solution

The third proportional to 62,023 and 83,422 is: 112,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,023 : 83,422 = 83,422 : x
  2. Step 2: Convert to fraction form
    62,023/83,422 = 83,422/x
  3. Step 3: Cross multiply
    62,023x = 83,422 × 83,422
  4. Step 4: Simplify right side
    62,023x = 6,959,230,084
  5. Step 5: Solve for x
    x = 6,959,230,084/62,023
  6. Step 6: Final answer
    x = 112,204.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.