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Finding the Third Proportional to 64,802 and 100,074

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Solution

The third proportional to 64,802 and 100,074 is: 154,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,802 : 100,074 = 100,074 : x
  2. Step 2: Convert to fraction form
    64,802/100,074 = 100,074/x
  3. Step 3: Cross multiply
    64,802x = 100,074 × 100,074
  4. Step 4: Simplify right side
    64,802x = 10,014,805,476
  5. Step 5: Solve for x
    x = 10,014,805,476/64,802
  6. Step 6: Final answer
    x = 154,544.70

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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.