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Finding the Third Proportional to 60,002 and 132,292

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Solution

The third proportional to 60,002 and 132,292 is: 291,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,002 : 132,292 = 132,292 : x
  2. Step 2: Convert to fraction form
    60,002/132,292 = 132,292/x
  3. Step 3: Cross multiply
    60,002x = 132,292 × 132,292
  4. Step 4: Simplify right side
    60,002x = 17,501,173,264
  5. Step 5: Solve for x
    x = 17,501,173,264/60,002
  6. Step 6: Final answer
    x = 291,676.50

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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.