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Finding the Third Proportional to 109,950 and 164,637

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Solution

The third proportional to 109,950 and 164,637 is: 246,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,950 : 164,637 = 164,637 : x
  2. Step 2: Convert to fraction form
    109,950/164,637 = 164,637/x
  3. Step 3: Cross multiply
    109,950x = 164,637 × 164,637
  4. Step 4: Simplify right side
    109,950x = 27,105,341,769
  5. Step 5: Solve for x
    x = 27,105,341,769/109,950
  6. Step 6: Final answer
    x = 246,524.25

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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.