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Finding the Third Proportional to 89,344.69 and 127,009.69

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Solution

The third proportional to 89,344.69 and 127,009.69 is: 180,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,344.69 : 127,009.69 = 127,009.69 : x
  2. Step 2: Convert to fraction form
    89,344.69/127,009.69 = 127,009.69/x
  3. Step 3: Cross multiply
    89,344.69x = 127,009.69 × 127,009.69
  4. Step 4: Simplify right side
    89,344.69x = 16,131,460,718.85
  5. Step 5: Solve for x
    x = 16,131,460,718.85/89,344.69
  6. Step 6: Final answer
    x = 180,553.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.