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Finding the Third Proportional to 78,772.50 and 125,281.69

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Solution

The third proportional to 78,772.50 and 125,281.69 is: 199,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,772.50 : 125,281.69 = 125,281.69 : x
  2. Step 2: Convert to fraction form
    78,772.50/125,281.69 = 125,281.69/x
  3. Step 3: Cross multiply
    78,772.50x = 125,281.69 × 125,281.69
  4. Step 4: Simplify right side
    78,772.50x = 15,695,501,222.85
  5. Step 5: Solve for x
    x = 15,695,501,222.85/78,772.50
  6. Step 6: Final answer
    x = 199,251.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.