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Finding the Third Proportional to 64,263 and 100,497

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Solution

The third proportional to 64,263 and 100,497 is: 157,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,263 : 100,497 = 100,497 : x
  2. Step 2: Convert to fraction form
    64,263/100,497 = 100,497/x
  3. Step 3: Cross multiply
    64,263x = 100,497 × 100,497
  4. Step 4: Simplify right side
    64,263x = 10,099,647,009
  5. Step 5: Solve for x
    x = 10,099,647,009/64,263
  6. Step 6: Final answer
    x = 157,161.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.