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Finding the Third Proportional to 57,604.50 and 89,403

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Solution

The third proportional to 57,604.50 and 89,403 is: 138,754.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,604.50 : 89,403 = 89,403 : x
  2. Step 2: Convert to fraction form
    57,604.50/89,403 = 89,403/x
  3. Step 3: Cross multiply
    57,604.50x = 89,403 × 89,403
  4. Step 4: Simplify right side
    57,604.50x = 7,992,896,409
  5. Step 5: Solve for x
    x = 7,992,896,409/57,604.50
  6. Step 6: Final answer
    x = 138,754.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.