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Finding the Third Proportional to 57,507.75 and 88,270.31

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Solution

The third proportional to 57,507.75 and 88,270.31 is: 135,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,507.75 : 88,270.31 = 88,270.31 : x
  2. Step 2: Convert to fraction form
    57,507.75/88,270.31 = 88,270.31/x
  3. Step 3: Cross multiply
    57,507.75x = 88,270.31 × 88,270.31
  4. Step 4: Simplify right side
    57,507.75x = 7,791,648,068.85
  5. Step 5: Solve for x
    x = 7,791,648,068.85/57,507.75
  6. Step 6: Final answer
    x = 135,488.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.