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Finding the Third Proportional to 64,858 and 100,150

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Solution

The third proportional to 64,858 and 100,150 is: 154,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858 : 100,150 = 100,150 : x
  2. Step 2: Convert to fraction form
    64,858/100,150 = 100,150/x
  3. Step 3: Cross multiply
    64,858x = 100,150 × 100,150
  4. Step 4: Simplify right side
    64,858x = 10,030,022,500
  5. Step 5: Solve for x
    x = 10,030,022,500/64,858
  6. Step 6: Final answer
    x = 154,645.88

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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.