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Finding the Third Proportional to 106,031 and 163,967

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Solution

The third proportional to 106,031 and 163,967 is: 253,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,031 : 163,967 = 163,967 : x
  2. Step 2: Convert to fraction form
    106,031/163,967 = 163,967/x
  3. Step 3: Cross multiply
    106,031x = 163,967 × 163,967
  4. Step 4: Simplify right side
    106,031x = 26,885,177,089
  5. Step 5: Solve for x
    x = 26,885,177,089/106,031
  6. Step 6: Final answer
    x = 253,559.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.