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Finding the Third Proportional to 103,508 and 146,493

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Solution

The third proportional to 103,508 and 146,493 is: 207,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,508 : 146,493 = 146,493 : x
  2. Step 2: Convert to fraction form
    103,508/146,493 = 146,493/x
  3. Step 3: Cross multiply
    103,508x = 146,493 × 146,493
  4. Step 4: Simplify right side
    103,508x = 21,460,199,049
  5. Step 5: Solve for x
    x = 21,460,199,049/103,508
  6. Step 6: Final answer
    x = 207,328.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.