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Finding the Third Proportional to 42,560.75 and 68,576.78

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Solution

The third proportional to 42,560.75 and 68,576.78 is: 110,495.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,560.75 : 68,576.78 = 68,576.78 : x
  2. Step 2: Convert to fraction form
    42,560.75/68,576.78 = 68,576.78/x
  3. Step 3: Cross multiply
    42,560.75x = 68,576.78 × 68,576.78
  4. Step 4: Simplify right side
    42,560.75x = 4,702,775,194.49
  5. Step 5: Solve for x
    x = 4,702,775,194.49/42,560.75
  6. Step 6: Final answer
    x = 110,495.58

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