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Finding the Third Proportional to 89,055 and 127,566

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Solution

The third proportional to 89,055 and 127,566 is: 182,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,055 : 127,566 = 127,566 : x
  2. Step 2: Convert to fraction form
    89,055/127,566 = 127,566/x
  3. Step 3: Cross multiply
    89,055x = 127,566 × 127,566
  4. Step 4: Simplify right side
    89,055x = 16,273,084,356
  5. Step 5: Solve for x
    x = 16,273,084,356/89,055
  6. Step 6: Final answer
    x = 182,730.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.