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Finding the Third Proportional to 64,508 and 99,675

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Solution

The third proportional to 64,508 and 99,675 is: 154,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,508 : 99,675 = 99,675 : x
  2. Step 2: Convert to fraction form
    64,508/99,675 = 99,675/x
  3. Step 3: Cross multiply
    64,508x = 99,675 × 99,675
  4. Step 4: Simplify right side
    64,508x = 9,935,105,625
  5. Step 5: Solve for x
    x = 9,935,105,625/64,508
  6. Step 6: Final answer
    x = 154,013.54

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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.