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Finding the Third Proportional to 106,433 and 158,727

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Solution

The third proportional to 106,433 and 158,727 is: 236,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,433 : 158,727 = 158,727 : x
  2. Step 2: Convert to fraction form
    106,433/158,727 = 158,727/x
  3. Step 3: Cross multiply
    106,433x = 158,727 × 158,727
  4. Step 4: Simplify right side
    106,433x = 25,194,260,529
  5. Step 5: Solve for x
    x = 25,194,260,529/106,433
  6. Step 6: Final answer
    x = 236,714.75

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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.