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Finding the Third Proportional to 61,571 and 132,757

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Solution

The third proportional to 61,571 and 132,757 is: 286,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,571 : 132,757 = 132,757 : x
  2. Step 2: Convert to fraction form
    61,571/132,757 = 132,757/x
  3. Step 3: Cross multiply
    61,571x = 132,757 × 132,757
  4. Step 4: Simplify right side
    61,571x = 17,624,421,049
  5. Step 5: Solve for x
    x = 17,624,421,049/61,571
  6. Step 6: Final answer
    x = 286,245.49

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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.