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Finding the Third Proportional to 57,091.50 and 85,637.25

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Solution

The third proportional to 57,091.50 and 85,637.25 is: 128,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,091.50 : 85,637.25 = 85,637.25 : x
  2. Step 2: Convert to fraction form
    57,091.50/85,637.25 = 85,637.25/x
  3. Step 3: Cross multiply
    57,091.50x = 85,637.25 × 85,637.25
  4. Step 4: Simplify right side
    57,091.50x = 7,333,738,587.56
  5. Step 5: Solve for x
    x = 7,333,738,587.56/57,091.50
  6. Step 6: Final answer
    x = 128,455.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.