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Finding the Third Proportional to 83,230 and 130,424

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Solution

The third proportional to 83,230 and 130,424 is: 204,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230 : 130,424 = 130,424 : x
  2. Step 2: Convert to fraction form
    83,230/130,424 = 130,424/x
  3. Step 3: Cross multiply
    83,230x = 130,424 × 130,424
  4. Step 4: Simplify right side
    83,230x = 17,010,419,776
  5. Step 5: Solve for x
    x = 17,010,419,776/83,230
  6. Step 6: Final answer
    x = 204,378.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.