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Finding the Third Proportional to 106,418.25 and 158,704.88

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Solution

The third proportional to 106,418.25 and 158,704.88 is: 236,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418.25 : 158,704.88 = 158,704.88 : x
  2. Step 2: Convert to fraction form
    106,418.25/158,704.88 = 158,704.88/x
  3. Step 3: Cross multiply
    106,418.25x = 158,704.88 × 158,704.88
  4. Step 4: Simplify right side
    106,418.25x = 25,187,237,348.77
  5. Step 5: Solve for x
    x = 25,187,237,348.77/106,418.25
  6. Step 6: Final answer
    x = 236,681.56

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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.