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Finding the Third Proportional to 61,571 and 132,983

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Solution

The third proportional to 61,571 and 132,983 is: 287,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,571 : 132,983 = 132,983 : x
  2. Step 2: Convert to fraction form
    61,571/132,983 = 132,983/x
  3. Step 3: Cross multiply
    61,571x = 132,983 × 132,983
  4. Step 4: Simplify right side
    61,571x = 17,684,478,289
  5. Step 5: Solve for x
    x = 17,684,478,289/61,571
  6. Step 6: Final answer
    x = 287,220.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.