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Finding the Third Proportional to 80,153 and 125,081

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Solution

The third proportional to 80,153 and 125,081 is: 195,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,153 : 125,081 = 125,081 : x
  2. Step 2: Convert to fraction form
    80,153/125,081 = 125,081/x
  3. Step 3: Cross multiply
    80,153x = 125,081 × 125,081
  4. Step 4: Simplify right side
    80,153x = 15,645,256,561
  5. Step 5: Solve for x
    x = 15,645,256,561/80,153
  6. Step 6: Final answer
    x = 195,192.40

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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.