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Finding the Third Proportional to 120,105 and 278,013

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Solution

The third proportional to 120,105 and 278,013 is: 643,530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,105 : 278,013 = 278,013 : x
  2. Step 2: Convert to fraction form
    120,105/278,013 = 278,013/x
  3. Step 3: Cross multiply
    120,105x = 278,013 × 278,013
  4. Step 4: Simplify right side
    120,105x = 77,291,228,169
  5. Step 5: Solve for x
    x = 77,291,228,169/120,105
  6. Step 6: Final answer
    x = 643,530.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.