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Finding the Third Proportional to 54,615.75 and 82,309.13

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Solution

The third proportional to 54,615.75 and 82,309.13 is: 124,044.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,615.75 : 82,309.13 = 82,309.13 : x
  2. Step 2: Convert to fraction form
    54,615.75/82,309.13 = 82,309.13/x
  3. Step 3: Cross multiply
    54,615.75x = 82,309.13 × 82,309.13
  4. Step 4: Simplify right side
    54,615.75x = 6,774,792,058.27
  5. Step 5: Solve for x
    x = 6,774,792,058.27/54,615.75
  6. Step 6: Final answer
    x = 124,044.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.