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Finding the Third Proportional to 118,510 and 156,593

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Solution

The third proportional to 118,510 and 156,593 is: 206,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,510 : 156,593 = 156,593 : x
  2. Step 2: Convert to fraction form
    118,510/156,593 = 156,593/x
  3. Step 3: Cross multiply
    118,510x = 156,593 × 156,593
  4. Step 4: Simplify right side
    118,510x = 24,521,367,649
  5. Step 5: Solve for x
    x = 24,521,367,649/118,510
  6. Step 6: Final answer
    x = 206,913.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.