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Finding the Third Proportional to 106,418 and 158,704

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Solution

The third proportional to 106,418 and 158,704 is: 236,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418 : 158,704 = 158,704 : x
  2. Step 2: Convert to fraction form
    106,418/158,704 = 158,704/x
  3. Step 3: Cross multiply
    106,418x = 158,704 × 158,704
  4. Step 4: Simplify right side
    106,418x = 25,186,959,616
  5. Step 5: Solve for x
    x = 25,186,959,616/106,418
  6. Step 6: Final answer
    x = 236,679.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.