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Finding the Third Proportional to 61,657 and 83,554

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Solution

The third proportional to 61,657 and 83,554 is: 113,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,657 : 83,554 = 83,554 : x
  2. Step 2: Convert to fraction form
    61,657/83,554 = 83,554/x
  3. Step 3: Cross multiply
    61,657x = 83,554 × 83,554
  4. Step 4: Simplify right side
    61,657x = 6,981,270,916
  5. Step 5: Solve for x
    x = 6,981,270,916/61,657
  6. Step 6: Final answer
    x = 113,227.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.