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Finding the Third Proportional to 57,543.50 and 88,320

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Solution

The third proportional to 57,543.50 and 88,320 is: 135,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,543.50 : 88,320 = 88,320 : x
  2. Step 2: Convert to fraction form
    57,543.50/88,320 = 88,320/x
  3. Step 3: Cross multiply
    57,543.50x = 88,320 × 88,320
  4. Step 4: Simplify right side
    57,543.50x = 7,800,422,400
  5. Step 5: Solve for x
    x = 7,800,422,400/57,543.50
  6. Step 6: Final answer
    x = 135,556.97

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.