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Finding the Third Proportional to 106,437 and 158,733

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Solution

The third proportional to 106,437 and 158,733 is: 236,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,437 : 158,733 = 158,733 : x
  2. Step 2: Convert to fraction form
    106,437/158,733 = 158,733/x
  3. Step 3: Cross multiply
    106,437x = 158,733 × 158,733
  4. Step 4: Simplify right side
    106,437x = 25,196,165,289
  5. Step 5: Solve for x
    x = 25,196,165,289/106,437
  6. Step 6: Final answer
    x = 236,723.75

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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.