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Finding the Third Proportional to 104,466 and 156,931

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Solution

The third proportional to 104,466 and 156,931 is: 235,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,466 : 156,931 = 156,931 : x
  2. Step 2: Convert to fraction form
    104,466/156,931 = 156,931/x
  3. Step 3: Cross multiply
    104,466x = 156,931 × 156,931
  4. Step 4: Simplify right side
    104,466x = 24,627,338,761
  5. Step 5: Solve for x
    x = 24,627,338,761/104,466
  6. Step 6: Final answer
    x = 235,745.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.