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Finding the Third Proportional to 70,927 and 107,864

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Solution

The third proportional to 70,927 and 107,864 is: 164,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,927 : 107,864 = 107,864 : x
  2. Step 2: Convert to fraction form
    70,927/107,864 = 107,864/x
  3. Step 3: Cross multiply
    70,927x = 107,864 × 107,864
  4. Step 4: Simplify right side
    70,927x = 11,634,642,496
  5. Step 5: Solve for x
    x = 11,634,642,496/70,927
  6. Step 6: Final answer
    x = 164,036.86

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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.