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Finding the Third Proportional to 57,100 and 86,998

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Solution

The third proportional to 57,100 and 86,998 is: 132,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,100 : 86,998 = 86,998 : x
  2. Step 2: Convert to fraction form
    57,100/86,998 = 86,998/x
  3. Step 3: Cross multiply
    57,100x = 86,998 × 86,998
  4. Step 4: Simplify right side
    57,100x = 7,568,652,004
  5. Step 5: Solve for x
    x = 7,568,652,004/57,100
  6. Step 6: Final answer
    x = 132,550.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.