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Finding the Third Proportional to 80,281 and 125,017.25

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Solution

The third proportional to 80,281 and 125,017.25 is: 194,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,281 : 125,017.25 = 125,017.25 : x
  2. Step 2: Convert to fraction form
    80,281/125,017.25 = 125,017.25/x
  3. Step 3: Cross multiply
    80,281x = 125,017.25 × 125,017.25
  4. Step 4: Simplify right side
    80,281x = 15,629,312,797.56
  5. Step 5: Solve for x
    x = 15,629,312,797.56/80,281
  6. Step 6: Final answer
    x = 194,682.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.