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Finding the Third Proportional to 106,218 and 163,041

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Solution

The third proportional to 106,218 and 163,041 is: 250,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,218 : 163,041 = 163,041 : x
  2. Step 2: Convert to fraction form
    106,218/163,041 = 163,041/x
  3. Step 3: Cross multiply
    106,218x = 163,041 × 163,041
  4. Step 4: Simplify right side
    106,218x = 26,582,367,681
  5. Step 5: Solve for x
    x = 26,582,367,681/106,218
  6. Step 6: Final answer
    x = 250,262.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.