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Finding the Third Proportional to 57,034.50 and 85,063.50

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Solution

The third proportional to 57,034.50 and 85,063.50 is: 126,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,034.50 : 85,063.50 = 85,063.50 : x
  2. Step 2: Convert to fraction form
    57,034.50/85,063.50 = 85,063.50/x
  3. Step 3: Cross multiply
    57,034.50x = 85,063.50 × 85,063.50
  4. Step 4: Simplify right side
    57,034.50x = 7,235,799,032.25
  5. Step 5: Solve for x
    x = 7,235,799,032.25/57,034.50
  6. Step 6: Final answer
    x = 126,867.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.