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Finding the Third Proportional to 60,695 and 132,041

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Solution

The third proportional to 60,695 and 132,041 is: 287,253.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,695 : 132,041 = 132,041 : x
  2. Step 2: Convert to fraction form
    60,695/132,041 = 132,041/x
  3. Step 3: Cross multiply
    60,695x = 132,041 × 132,041
  4. Step 4: Simplify right side
    60,695x = 17,434,825,681
  5. Step 5: Solve for x
    x = 17,434,825,681/60,695
  6. Step 6: Final answer
    x = 287,253.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.