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Finding the Third Proportional to 57,409 and 87,328.50

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Solution

The third proportional to 57,409 and 87,328.50 is: 132,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,409 : 87,328.50 = 87,328.50 : x
  2. Step 2: Convert to fraction form
    57,409/87,328.50 = 87,328.50/x
  3. Step 3: Cross multiply
    57,409x = 87,328.50 × 87,328.50
  4. Step 4: Simplify right side
    57,409x = 7,626,266,912.25
  5. Step 5: Solve for x
    x = 7,626,266,912.25/57,409
  6. Step 6: Final answer
    x = 132,840.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.