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Finding the Third Proportional to 109,993.50 and 170,035.88

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Solution

The third proportional to 109,993.50 and 170,035.88 is: 262,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,993.50 : 170,035.88 = 170,035.88 : x
  2. Step 2: Convert to fraction form
    109,993.50/170,035.88 = 170,035.88/x
  3. Step 3: Cross multiply
    109,993.50x = 170,035.88 × 170,035.88
  4. Step 4: Simplify right side
    109,993.50x = 28,912,198,787.02
  5. Step 5: Solve for x
    x = 28,912,198,787.02/109,993.50
  6. Step 6: Final answer
    x = 262,853.70

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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.