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Finding the Third Proportional to 60,394.50 and 132,738

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Solution

The third proportional to 60,394.50 and 132,738 is: 291,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,394.50 : 132,738 = 132,738 : x
  2. Step 2: Convert to fraction form
    60,394.50/132,738 = 132,738/x
  3. Step 3: Cross multiply
    60,394.50x = 132,738 × 132,738
  4. Step 4: Simplify right side
    60,394.50x = 17,619,376,644
  5. Step 5: Solve for x
    x = 17,619,376,644/60,394.50
  6. Step 6: Final answer
    x = 291,738.10

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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.