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Finding the Third Proportional to 109,947.50 and 164,633

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Solution

The third proportional to 109,947.50 and 164,633 is: 246,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,947.50 : 164,633 = 164,633 : x
  2. Step 2: Convert to fraction form
    109,947.50/164,633 = 164,633/x
  3. Step 3: Cross multiply
    109,947.50x = 164,633 × 164,633
  4. Step 4: Simplify right side
    109,947.50x = 27,104,024,689
  5. Step 5: Solve for x
    x = 27,104,024,689/109,947.50
  6. Step 6: Final answer
    x = 246,517.88

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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.