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Finding the Third Proportional to 132,744 and 195,200

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Solution

The third proportional to 132,744 and 195,200 is: 287,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,744 : 195,200 = 195,200 : x
  2. Step 2: Convert to fraction form
    132,744/195,200 = 195,200/x
  3. Step 3: Cross multiply
    132,744x = 195,200 × 195,200
  4. Step 4: Simplify right side
    132,744x = 38,103,040,000
  5. Step 5: Solve for x
    x = 38,103,040,000/132,744
  6. Step 6: Final answer
    x = 287,041.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.