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Finding the Third Proportional to 57,109.75 and 83,716.13

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Solution

The third proportional to 57,109.75 and 83,716.13 is: 122,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,109.75 : 83,716.13 = 83,716.13 : x
  2. Step 2: Convert to fraction form
    57,109.75/83,716.13 = 83,716.13/x
  3. Step 3: Cross multiply
    57,109.75x = 83,716.13 × 83,716.13
  4. Step 4: Simplify right side
    57,109.75x = 7,008,389,585.02
  5. Step 5: Solve for x
    x = 7,008,389,585.02/57,109.75
  6. Step 6: Final answer
    x = 122,717.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.