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Finding the Third Proportional to 80,466.75 and 127,387.69

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Solution

The third proportional to 80,466.75 and 127,387.69 is: 201,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,466.75 : 127,387.69 = 127,387.69 : x
  2. Step 2: Convert to fraction form
    80,466.75/127,387.69 = 127,387.69/x
  3. Step 3: Cross multiply
    80,466.75x = 127,387.69 × 127,387.69
  4. Step 4: Simplify right side
    80,466.75x = 16,227,622,926.60
  5. Step 5: Solve for x
    x = 16,227,622,926.60/80,466.75
  6. Step 6: Final answer
    x = 201,668.68

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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.