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Finding the Third Proportional to 75,246.38 and 156,720.38

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Solution

The third proportional to 75,246.38 and 156,720.38 is: 326,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246.38 : 156,720.38 = 156,720.38 : x
  2. Step 2: Convert to fraction form
    75,246.38/156,720.38 = 156,720.38/x
  3. Step 3: Cross multiply
    75,246.38x = 156,720.38 × 156,720.38
  4. Step 4: Simplify right side
    75,246.38x = 24,561,275,940.14
  5. Step 5: Solve for x
    x = 24,561,275,940.14/75,246.38
  6. Step 6: Final answer
    x = 326,411.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.