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Finding the Third Proportional to 79,182 and 125,374.50

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Solution

The third proportional to 79,182 and 125,374.50 is: 198,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,182 : 125,374.50 = 125,374.50 : x
  2. Step 2: Convert to fraction form
    79,182/125,374.50 = 125,374.50/x
  3. Step 3: Cross multiply
    79,182x = 125,374.50 × 125,374.50
  4. Step 4: Simplify right side
    79,182x = 15,718,765,250.25
  5. Step 5: Solve for x
    x = 15,718,765,250.25/79,182
  6. Step 6: Final answer
    x = 198,514.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.