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Finding the Third Proportional to 103,678 and 146,677

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Solution

The third proportional to 103,678 and 146,677 is: 207,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,678 : 146,677 = 146,677 : x
  2. Step 2: Convert to fraction form
    103,678/146,677 = 146,677/x
  3. Step 3: Cross multiply
    103,678x = 146,677 × 146,677
  4. Step 4: Simplify right side
    103,678x = 21,514,142,329
  5. Step 5: Solve for x
    x = 21,514,142,329/103,678
  6. Step 6: Final answer
    x = 207,509.23

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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.