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Finding the Third Proportional to 81,298.69 and 127,711.69

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Solution

The third proportional to 81,298.69 and 127,711.69 is: 200,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,298.69 : 127,711.69 = 127,711.69 : x
  2. Step 2: Convert to fraction form
    81,298.69/127,711.69 = 127,711.69/x
  3. Step 3: Cross multiply
    81,298.69x = 127,711.69 × 127,711.69
  4. Step 4: Simplify right side
    81,298.69x = 16,310,275,124.10
  5. Step 5: Solve for x
    x = 16,310,275,124.10/81,298.69
  6. Step 6: Final answer
    x = 200,621.63

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.