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Finding the Third Proportional to 78,480.50 and 100,771.50

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Solution

The third proportional to 78,480.50 and 100,771.50 is: 129,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480.50 : 100,771.50 = 100,771.50 : x
  2. Step 2: Convert to fraction form
    78,480.50/100,771.50 = 100,771.50/x
  3. Step 3: Cross multiply
    78,480.50x = 100,771.50 × 100,771.50
  4. Step 4: Simplify right side
    78,480.50x = 10,154,895,212.25
  5. Step 5: Solve for x
    x = 10,154,895,212.25/78,480.50
  6. Step 6: Final answer
    x = 129,393.86

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