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Finding the Third Proportional to 48,364.50 and 106,539

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Solution

The third proportional to 48,364.50 and 106,539 is: 234,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,364.50 : 106,539 = 106,539 : x
  2. Step 2: Convert to fraction form
    48,364.50/106,539 = 106,539/x
  3. Step 3: Cross multiply
    48,364.50x = 106,539 × 106,539
  4. Step 4: Simplify right side
    48,364.50x = 11,350,558,521
  5. Step 5: Solve for x
    x = 11,350,558,521/48,364.50
  6. Step 6: Final answer
    x = 234,687.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.