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Finding the Third Proportional to 70,918 and 107,850

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Solution

The third proportional to 70,918 and 107,850 is: 164,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,918 : 107,850 = 107,850 : x
  2. Step 2: Convert to fraction form
    70,918/107,850 = 107,850/x
  3. Step 3: Cross multiply
    70,918x = 107,850 × 107,850
  4. Step 4: Simplify right side
    70,918x = 11,631,622,500
  5. Step 5: Solve for x
    x = 11,631,622,500/70,918
  6. Step 6: Final answer
    x = 164,015.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.