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Finding the Third Proportional to 57,598.50 and 87,204

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Solution

The third proportional to 57,598.50 and 87,204 is: 132,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,598.50 : 87,204 = 87,204 : x
  2. Step 2: Convert to fraction form
    57,598.50/87,204 = 87,204/x
  3. Step 3: Cross multiply
    57,598.50x = 87,204 × 87,204
  4. Step 4: Simplify right side
    57,598.50x = 7,604,537,616
  5. Step 5: Solve for x
    x = 7,604,537,616/57,598.50
  6. Step 6: Final answer
    x = 132,026.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.