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Finding the Third Proportional to 109,750 and 164,156

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Solution

The third proportional to 109,750 and 164,156 is: 245,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,750 : 164,156 = 164,156 : x
  2. Step 2: Convert to fraction form
    109,750/164,156 = 164,156/x
  3. Step 3: Cross multiply
    109,750x = 164,156 × 164,156
  4. Step 4: Simplify right side
    109,750x = 26,947,192,336
  5. Step 5: Solve for x
    x = 26,947,192,336/109,750
  6. Step 6: Final answer
    x = 245,532.50

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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.