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Finding the Third Proportional to 102,282.75 and 137,586.09

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Solution

The third proportional to 102,282.75 and 137,586.09 is: 185,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,282.75 : 137,586.09 = 137,586.09 : x
  2. Step 2: Convert to fraction form
    102,282.75/137,586.09 = 137,586.09/x
  3. Step 3: Cross multiply
    102,282.75x = 137,586.09 × 137,586.09
  4. Step 4: Simplify right side
    102,282.75x = 18,929,933,193.38
  5. Step 5: Solve for x
    x = 18,929,933,193.38/102,282.75
  6. Step 6: Final answer
    x = 185,074.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.