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Finding the Third Proportional to 70,180 and 107,873

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Solution

The third proportional to 70,180 and 107,873 is: 165,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,180 : 107,873 = 107,873 : x
  2. Step 2: Convert to fraction form
    70,180/107,873 = 107,873/x
  3. Step 3: Cross multiply
    70,180x = 107,873 × 107,873
  4. Step 4: Simplify right side
    70,180x = 11,636,584,129
  5. Step 5: Solve for x
    x = 11,636,584,129/70,180
  6. Step 6: Final answer
    x = 165,810.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.