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Finding the Third Proportional to 78,780.75 and 113,250.38

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Solution

The third proportional to 78,780.75 and 113,250.38 is: 162,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,780.75 : 113,250.38 = 113,250.38 : x
  2. Step 2: Convert to fraction form
    78,780.75/113,250.38 = 113,250.38/x
  3. Step 3: Cross multiply
    78,780.75x = 113,250.38 × 113,250.38
  4. Step 4: Simplify right side
    78,780.75x = 12,825,647,437.64
  5. Step 5: Solve for x
    x = 12,825,647,437.64/78,780.75
  6. Step 6: Final answer
    x = 162,801.79

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.