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Finding the Third Proportional to 57,111.75 and 83,718.56

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Solution

The third proportional to 57,111.75 and 83,718.56 is: 122,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111.75 : 83,718.56 = 83,718.56 : x
  2. Step 2: Convert to fraction form
    57,111.75/83,718.56 = 83,718.56/x
  3. Step 3: Cross multiply
    57,111.75x = 83,718.56 × 83,718.56
  4. Step 4: Simplify right side
    57,111.75x = 7,008,797,707.07
  5. Step 5: Solve for x
    x = 7,008,797,707.07/57,111.75
  6. Step 6: Final answer
    x = 122,720.77

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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.