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Finding the Third Proportional to 80,980.50 and 127,023

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Solution

The third proportional to 80,980.50 and 127,023 is: 199,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,980.50 : 127,023 = 127,023 : x
  2. Step 2: Convert to fraction form
    80,980.50/127,023 = 127,023/x
  3. Step 3: Cross multiply
    80,980.50x = 127,023 × 127,023
  4. Step 4: Simplify right side
    80,980.50x = 16,134,842,529
  5. Step 5: Solve for x
    x = 16,134,842,529/80,980.50
  6. Step 6: Final answer
    x = 199,243.55

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Why These Related Problems?

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