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Finding the Third Proportional to 80,428 and 125,238

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Solution

The third proportional to 80,428 and 125,238 is: 195,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,428 : 125,238 = 125,238 : x
  2. Step 2: Convert to fraction form
    80,428/125,238 = 125,238/x
  3. Step 3: Cross multiply
    80,428x = 125,238 × 125,238
  4. Step 4: Simplify right side
    80,428x = 15,684,556,644
  5. Step 5: Solve for x
    x = 15,684,556,644/80,428
  6. Step 6: Final answer
    x = 195,013.64

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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.