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Finding the Third Proportional to 49,766.50 and 108,281

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Solution

The third proportional to 49,766.50 and 108,281 is: 235,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,766.50 : 108,281 = 108,281 : x
  2. Step 2: Convert to fraction form
    49,766.50/108,281 = 108,281/x
  3. Step 3: Cross multiply
    49,766.50x = 108,281 × 108,281
  4. Step 4: Simplify right side
    49,766.50x = 11,724,774,961
  5. Step 5: Solve for x
    x = 11,724,774,961/49,766.50
  6. Step 6: Final answer
    x = 235,595.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.