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Finding the Third Proportional to 60,523 and 132,991

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Solution

The third proportional to 60,523 and 132,991 is: 292,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,523 : 132,991 = 132,991 : x
  2. Step 2: Convert to fraction form
    60,523/132,991 = 132,991/x
  3. Step 3: Cross multiply
    60,523x = 132,991 × 132,991
  4. Step 4: Simplify right side
    60,523x = 17,686,606,081
  5. Step 5: Solve for x
    x = 17,686,606,081/60,523
  6. Step 6: Final answer
    x = 292,229.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.