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Finding the Third Proportional to 60,298 and 132,625

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Solution

The third proportional to 60,298 and 132,625 is: 291,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,298 : 132,625 = 132,625 : x
  2. Step 2: Convert to fraction form
    60,298/132,625 = 132,625/x
  3. Step 3: Cross multiply
    60,298x = 132,625 × 132,625
  4. Step 4: Simplify right side
    60,298x = 17,589,390,625
  5. Step 5: Solve for x
    x = 17,589,390,625/60,298
  6. Step 6: Final answer
    x = 291,707.70

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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.