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Finding the Third Proportional to 80,127 and 124,562.25

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Solution

The third proportional to 80,127 and 124,562.25 is: 193,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,127 : 124,562.25 = 124,562.25 : x
  2. Step 2: Convert to fraction form
    80,127/124,562.25 = 124,562.25/x
  3. Step 3: Cross multiply
    80,127x = 124,562.25 × 124,562.25
  4. Step 4: Simplify right side
    80,127x = 15,515,754,125.06
  5. Step 5: Solve for x
    x = 15,515,754,125.06/80,127
  6. Step 6: Final answer
    x = 193,639.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.