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Finding the Third Proportional to 59,625 and 126,357.75

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Solution

The third proportional to 59,625 and 126,357.75 is: 267,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,625 : 126,357.75 = 126,357.75 : x
  2. Step 2: Convert to fraction form
    59,625/126,357.75 = 126,357.75/x
  3. Step 3: Cross multiply
    59,625x = 126,357.75 × 126,357.75
  4. Step 4: Simplify right side
    59,625x = 15,966,280,985.06
  5. Step 5: Solve for x
    x = 15,966,280,985.06/59,625
  6. Step 6: Final answer
    x = 267,778.30

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.