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Finding the Third Proportional to 100,107 and 134,838

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Solution

The third proportional to 100,107 and 134,838 is: 181,618.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,107 : 134,838 = 134,838 : x
  2. Step 2: Convert to fraction form
    100,107/134,838 = 134,838/x
  3. Step 3: Cross multiply
    100,107x = 134,838 × 134,838
  4. Step 4: Simplify right side
    100,107x = 18,181,286,244
  5. Step 5: Solve for x
    x = 18,181,286,244/100,107
  6. Step 6: Final answer
    x = 181,618.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.