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Finding the Third Proportional to 60,388.50 and 132,729

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Solution

The third proportional to 60,388.50 and 132,729 is: 291,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,388.50 : 132,729 = 132,729 : x
  2. Step 2: Convert to fraction form
    60,388.50/132,729 = 132,729/x
  3. Step 3: Cross multiply
    60,388.50x = 132,729 × 132,729
  4. Step 4: Simplify right side
    60,388.50x = 17,616,987,441
  5. Step 5: Solve for x
    x = 17,616,987,441/60,388.50
  6. Step 6: Final answer
    x = 291,727.52

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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.