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Finding the Third Proportional to 57,343.78 and 134,918.16

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Solution

The third proportional to 57,343.78 and 134,918.16 is: 317,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,343.78 : 134,918.16 = 134,918.16 : x
  2. Step 2: Convert to fraction form
    57,343.78/134,918.16 = 134,918.16/x
  3. Step 3: Cross multiply
    57,343.78x = 134,918.16 × 134,918.16
  4. Step 4: Simplify right side
    57,343.78x = 18,202,908,885.90
  5. Step 5: Solve for x
    x = 18,202,908,885.90/57,343.78
  6. Step 6: Final answer
    x = 317,434.75

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.