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Finding the Third Proportional to 80,117 and 124,548.75

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Solution

The third proportional to 80,117 and 124,548.75 is: 193,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,117 : 124,548.75 = 124,548.75 : x
  2. Step 2: Convert to fraction form
    80,117/124,548.75 = 124,548.75/x
  3. Step 3: Cross multiply
    80,117x = 124,548.75 × 124,548.75
  4. Step 4: Simplify right side
    80,117x = 15,512,391,126.56
  5. Step 5: Solve for x
    x = 15,512,391,126.56/80,117
  6. Step 6: Final answer
    x = 193,621.72

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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.