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Finding the Third Proportional to 103,694 and 146,701

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Solution

The third proportional to 103,694 and 146,701 is: 207,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,694 : 146,701 = 146,701 : x
  2. Step 2: Convert to fraction form
    103,694/146,701 = 146,701/x
  3. Step 3: Cross multiply
    103,694x = 146,701 × 146,701
  4. Step 4: Simplify right side
    103,694x = 21,521,183,401
  5. Step 5: Solve for x
    x = 21,521,183,401/103,694
  6. Step 6: Final answer
    x = 207,545.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.