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Finding the Third Proportional to 57,017.25 and 132,134.63

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Solution

The third proportional to 57,017.25 and 132,134.63 is: 306,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,017.25 : 132,134.63 = 132,134.63 : x
  2. Step 2: Convert to fraction form
    57,017.25/132,134.63 = 132,134.63/x
  3. Step 3: Cross multiply
    57,017.25x = 132,134.63 × 132,134.63
  4. Step 4: Simplify right side
    57,017.25x = 17,459,559,123.89
  5. Step 5: Solve for x
    x = 17,459,559,123.89/57,017.25
  6. Step 6: Final answer
    x = 306,215.38

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.