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Finding the Third Proportional to 60,529 and 133,002

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Solution

The third proportional to 60,529 and 133,002 is: 292,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,529 : 133,002 = 133,002 : x
  2. Step 2: Convert to fraction form
    60,529/133,002 = 133,002/x
  3. Step 3: Cross multiply
    60,529x = 133,002 × 133,002
  4. Step 4: Simplify right side
    60,529x = 17,689,532,004
  5. Step 5: Solve for x
    x = 17,689,532,004/60,529
  6. Step 6: Final answer
    x = 292,248.87

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