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Finding the Third Proportional to 80,281.13 and 127,119.38

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Solution

The third proportional to 80,281.13 and 127,119.38 is: 201,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,281.13 : 127,119.38 = 127,119.38 : x
  2. Step 2: Convert to fraction form
    80,281.13/127,119.38 = 127,119.38/x
  3. Step 3: Cross multiply
    80,281.13x = 127,119.38 × 127,119.38
  4. Step 4: Simplify right side
    80,281.13x = 16,159,335,500.39
  5. Step 5: Solve for x
    x = 16,159,335,500.39/80,281.13
  6. Step 6: Final answer
    x = 201,284.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.