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Finding the Third Proportional to 78,473.50 and 100,759.75

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Solution

The third proportional to 78,473.50 and 100,759.75 is: 129,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,473.50 : 100,759.75 = 100,759.75 : x
  2. Step 2: Convert to fraction form
    78,473.50/100,759.75 = 100,759.75/x
  3. Step 3: Cross multiply
    78,473.50x = 100,759.75 × 100,759.75
  4. Step 4: Simplify right side
    78,473.50x = 10,152,527,220.06
  5. Step 5: Solve for x
    x = 10,152,527,220.06/78,473.50
  6. Step 6: Final answer
    x = 129,375.23

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.