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Finding the Third Proportional to 64,912 and 100,398

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Solution

The third proportional to 64,912 and 100,398 is: 155,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,912 : 100,398 = 100,398 : x
  2. Step 2: Convert to fraction form
    64,912/100,398 = 100,398/x
  3. Step 3: Cross multiply
    64,912x = 100,398 × 100,398
  4. Step 4: Simplify right side
    64,912x = 10,079,758,404
  5. Step 5: Solve for x
    x = 10,079,758,404/64,912
  6. Step 6: Final answer
    x = 155,283.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.