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Finding the Third Proportional to 100,006 and 146,058

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Solution

The third proportional to 100,006 and 146,058 is: 213,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006 : 146,058 = 146,058 : x
  2. Step 2: Convert to fraction form
    100,006/146,058 = 146,058/x
  3. Step 3: Cross multiply
    100,006x = 146,058 × 146,058
  4. Step 4: Simplify right side
    100,006x = 21,332,939,364
  5. Step 5: Solve for x
    x = 21,332,939,364/100,006
  6. Step 6: Final answer
    x = 213,316.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.