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Finding the Third Proportional to 54,252 and 86,301

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Solution

The third proportional to 54,252 and 86,301 is: 137,282.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,252 : 86,301 = 86,301 : x
  2. Step 2: Convert to fraction form
    54,252/86,301 = 86,301/x
  3. Step 3: Cross multiply
    54,252x = 86,301 × 86,301
  4. Step 4: Simplify right side
    54,252x = 7,447,862,601
  5. Step 5: Solve for x
    x = 7,447,862,601/54,252
  6. Step 6: Final answer
    x = 137,282.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.