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Finding the Third Proportional to 106,306.50 and 159,940.50

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Solution

The third proportional to 106,306.50 and 159,940.50 is: 240,634.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,306.50 : 159,940.50 = 159,940.50 : x
  2. Step 2: Convert to fraction form
    106,306.50/159,940.50 = 159,940.50/x
  3. Step 3: Cross multiply
    106,306.50x = 159,940.50 × 159,940.50
  4. Step 4: Simplify right side
    106,306.50x = 25,580,963,540.25
  5. Step 5: Solve for x
    x = 25,580,963,540.25/106,306.50
  6. Step 6: Final answer
    x = 240,634.05

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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.