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Finding the Third Proportional to 52,048 and 111,989.50

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Solution

The third proportional to 52,048 and 111,989.50 is: 240,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048 : 111,989.50 = 111,989.50 : x
  2. Step 2: Convert to fraction form
    52,048/111,989.50 = 111,989.50/x
  3. Step 3: Cross multiply
    52,048x = 111,989.50 × 111,989.50
  4. Step 4: Simplify right side
    52,048x = 12,541,648,110.25
  5. Step 5: Solve for x
    x = 12,541,648,110.25/52,048
  6. Step 6: Final answer
    x = 240,963.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.