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Finding the Third Proportional to 80,230.50 and 127,149.75

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Solution

The third proportional to 80,230.50 and 127,149.75 is: 201,507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,230.50 : 127,149.75 = 127,149.75 : x
  2. Step 2: Convert to fraction form
    80,230.50/127,149.75 = 127,149.75/x
  3. Step 3: Cross multiply
    80,230.50x = 127,149.75 × 127,149.75
  4. Step 4: Simplify right side
    80,230.50x = 16,167,058,925.06
  5. Step 5: Solve for x
    x = 16,167,058,925.06/80,230.50
  6. Step 6: Final answer
    x = 201,507.64

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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.