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Finding the Third Proportional to 52,019 and 111,933

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Solution

The third proportional to 52,019 and 111,933 is: 240,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,019 : 111,933 = 111,933 : x
  2. Step 2: Convert to fraction form
    52,019/111,933 = 111,933/x
  3. Step 3: Cross multiply
    52,019x = 111,933 × 111,933
  4. Step 4: Simplify right side
    52,019x = 12,528,996,489
  5. Step 5: Solve for x
    x = 12,528,996,489/52,019
  6. Step 6: Final answer
    x = 240,854.24

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Why These Related Problems?

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