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Finding the Third Proportional to 86,891.50 and 127,518

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Solution

The third proportional to 86,891.50 and 127,518 is: 187,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,891.50 : 127,518 = 127,518 : x
  2. Step 2: Convert to fraction form
    86,891.50/127,518 = 127,518/x
  3. Step 3: Cross multiply
    86,891.50x = 127,518 × 127,518
  4. Step 4: Simplify right side
    86,891.50x = 16,260,840,324
  5. Step 5: Solve for x
    x = 16,260,840,324/86,891.50
  6. Step 6: Final answer
    x = 187,139.60

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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.