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Finding the Third Proportional to 53,767 and 83,422

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Solution

The third proportional to 53,767 and 83,422 is: 129,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,767 : 83,422 = 83,422 : x
  2. Step 2: Convert to fraction form
    53,767/83,422 = 83,422/x
  3. Step 3: Cross multiply
    53,767x = 83,422 × 83,422
  4. Step 4: Simplify right side
    53,767x = 6,959,230,084
  5. Step 5: Solve for x
    x = 6,959,230,084/53,767
  6. Step 6: Final answer
    x = 129,433.11

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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.