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Finding the Third Proportional to 104,464 and 156,927

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Solution

The third proportional to 104,464 and 156,927 is: 235,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,464 : 156,927 = 156,927 : x
  2. Step 2: Convert to fraction form
    104,464/156,927 = 156,927/x
  3. Step 3: Cross multiply
    104,464x = 156,927 × 156,927
  4. Step 4: Simplify right side
    104,464x = 24,626,083,329
  5. Step 5: Solve for x
    x = 24,626,083,329/104,464
  6. Step 6: Final answer
    x = 235,737.51

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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.