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Finding the Third Proportional to 80,110 and 124,539

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Solution

The third proportional to 80,110 and 124,539 is: 193,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,110 : 124,539 = 124,539 : x
  2. Step 2: Convert to fraction form
    80,110/124,539 = 124,539/x
  3. Step 3: Cross multiply
    80,110x = 124,539 × 124,539
  4. Step 4: Simplify right side
    80,110x = 15,509,962,521
  5. Step 5: Solve for x
    x = 15,509,962,521/80,110
  6. Step 6: Final answer
    x = 193,608.32

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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.