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Finding the Third Proportional to 107,742 and 236,058

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Solution

The third proportional to 107,742 and 236,058 is: 517,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,742 : 236,058 = 236,058 : x
  2. Step 2: Convert to fraction form
    107,742/236,058 = 236,058/x
  3. Step 3: Cross multiply
    107,742x = 236,058 × 236,058
  4. Step 4: Simplify right side
    107,742x = 55,723,379,364
  5. Step 5: Solve for x
    x = 55,723,379,364/107,742
  6. Step 6: Final answer
    x = 517,192.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.