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Finding the Third Proportional to 105,985.50 and 159,205.50

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Solution

The third proportional to 105,985.50 and 159,205.50 is: 239,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,985.50 : 159,205.50 = 159,205.50 : x
  2. Step 2: Convert to fraction form
    105,985.50/159,205.50 = 159,205.50/x
  3. Step 3: Cross multiply
    105,985.50x = 159,205.50 × 159,205.50
  4. Step 4: Simplify right side
    105,985.50x = 25,346,391,230.25
  5. Step 5: Solve for x
    x = 25,346,391,230.25/105,985.50
  6. Step 6: Final answer
    x = 239,149.61

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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.