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Finding the Third Proportional to 57,388.50 and 89,079.75

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Solution

The third proportional to 57,388.50 and 89,079.75 is: 138,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,388.50 : 89,079.75 = 89,079.75 : x
  2. Step 2: Convert to fraction form
    57,388.50/89,079.75 = 89,079.75/x
  3. Step 3: Cross multiply
    57,388.50x = 89,079.75 × 89,079.75
  4. Step 4: Simplify right side
    57,388.50x = 7,935,201,860.06
  5. Step 5: Solve for x
    x = 7,935,201,860.06/57,388.50
  6. Step 6: Final answer
    x = 138,271.64

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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.