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Finding the Third Proportional to 75,190 and 156,578

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Solution

The third proportional to 75,190 and 156,578 is: 326,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,190 : 156,578 = 156,578 : x
  2. Step 2: Convert to fraction form
    75,190/156,578 = 156,578/x
  3. Step 3: Cross multiply
    75,190x = 156,578 × 156,578
  4. Step 4: Simplify right side
    75,190x = 24,516,670,084
  5. Step 5: Solve for x
    x = 24,516,670,084/75,190
  6. Step 6: Final answer
    x = 326,062.91

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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.