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Finding the Third Proportional to 86,274 and 137,733

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Solution

The third proportional to 86,274 and 137,733 is: 219,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,274 : 137,733 = 137,733 : x
  2. Step 2: Convert to fraction form
    86,274/137,733 = 137,733/x
  3. Step 3: Cross multiply
    86,274x = 137,733 × 137,733
  4. Step 4: Simplify right side
    86,274x = 18,970,379,289
  5. Step 5: Solve for x
    x = 18,970,379,289/86,274
  6. Step 6: Final answer
    x = 219,885.24

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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.