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Finding the Third Proportional to 80,244 and 124,184.25

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Solution

The third proportional to 80,244 and 124,184.25 is: 192,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,244 : 124,184.25 = 124,184.25 : x
  2. Step 2: Convert to fraction form
    80,244/124,184.25 = 124,184.25/x
  3. Step 3: Cross multiply
    80,244x = 124,184.25 × 124,184.25
  4. Step 4: Simplify right side
    80,244x = 15,421,727,948.06
  5. Step 5: Solve for x
    x = 15,421,727,948.06/80,244
  6. Step 6: Final answer
    x = 192,185.43

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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.