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Finding the Third Proportional to 64,864 and 100,159

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Solution

The third proportional to 64,864 and 100,159 is: 154,659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,864 : 100,159 = 100,159 : x
  2. Step 2: Convert to fraction form
    64,864/100,159 = 100,159/x
  3. Step 3: Cross multiply
    64,864x = 100,159 × 100,159
  4. Step 4: Simplify right side
    64,864x = 10,031,825,281
  5. Step 5: Solve for x
    x = 10,031,825,281/64,864
  6. Step 6: Final answer
    x = 154,659.37

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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.