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Finding the Third Proportional to 103,695 and 146,126

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Solution

The third proportional to 103,695 and 146,126 is: 205,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 146,126 = 146,126 : x
  2. Step 2: Convert to fraction form
    103,695/146,126 = 146,126/x
  3. Step 3: Cross multiply
    103,695x = 146,126 × 146,126
  4. Step 4: Simplify right side
    103,695x = 21,352,807,876
  5. Step 5: Solve for x
    x = 21,352,807,876/103,695
  6. Step 6: Final answer
    x = 205,919.36

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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.