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Finding the Third Proportional to 100,974 and 156,796

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Solution

The third proportional to 100,974 and 156,796 is: 243,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,974 : 156,796 = 156,796 : x
  2. Step 2: Convert to fraction form
    100,974/156,796 = 156,796/x
  3. Step 3: Cross multiply
    100,974x = 156,796 × 156,796
  4. Step 4: Simplify right side
    100,974x = 24,584,985,616
  5. Step 5: Solve for x
    x = 24,584,985,616/100,974
  6. Step 6: Final answer
    x = 243,478.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.