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Finding the Third Proportional to 98,993.25 and 159,385.50

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Solution

The third proportional to 98,993.25 and 159,385.50 is: 256,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,993.25 : 159,385.50 = 159,385.50 : x
  2. Step 2: Convert to fraction form
    98,993.25/159,385.50 = 159,385.50/x
  3. Step 3: Cross multiply
    98,993.25x = 159,385.50 × 159,385.50
  4. Step 4: Simplify right side
    98,993.25x = 25,403,737,610.25
  5. Step 5: Solve for x
    x = 25,403,737,610.25/98,993.25
  6. Step 6: Final answer
    x = 256,620.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.