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Finding the Third Proportional to 57,492.28 and 89,735.34

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Solution

The third proportional to 57,492.28 and 89,735.34 is: 140,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,492.28 : 89,735.34 = 89,735.34 : x
  2. Step 2: Convert to fraction form
    57,492.28/89,735.34 = 89,735.34/x
  3. Step 3: Cross multiply
    57,492.28x = 89,735.34 × 89,735.34
  4. Step 4: Simplify right side
    57,492.28x = 8,052,431,917.93
  5. Step 5: Solve for x
    x = 8,052,431,917.93/57,492.28
  6. Step 6: Final answer
    x = 140,061.10

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.