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Finding the Third Proportional to 132,544.50 and 187,398

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Solution

The third proportional to 132,544.50 and 187,398 is: 264,952.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,544.50 : 187,398 = 187,398 : x
  2. Step 2: Convert to fraction form
    132,544.50/187,398 = 187,398/x
  3. Step 3: Cross multiply
    132,544.50x = 187,398 × 187,398
  4. Step 4: Simplify right side
    132,544.50x = 35,118,010,404
  5. Step 5: Solve for x
    x = 35,118,010,404/132,544.50
  6. Step 6: Final answer
    x = 264,952.60

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.