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Finding the Third Proportional to 86,268 and 137,724

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Solution

The third proportional to 86,268 and 137,724 is: 219,871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,268 : 137,724 = 137,724 : x
  2. Step 2: Convert to fraction form
    86,268/137,724 = 137,724/x
  3. Step 3: Cross multiply
    86,268x = 137,724 × 137,724
  4. Step 4: Simplify right side
    86,268x = 18,967,900,176
  5. Step 5: Solve for x
    x = 18,967,900,176/86,268
  6. Step 6: Final answer
    x = 219,871.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.