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Finding the Third Proportional to 110,202 and 163,682

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Solution

The third proportional to 110,202 and 163,682 is: 243,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,202 : 163,682 = 163,682 : x
  2. Step 2: Convert to fraction form
    110,202/163,682 = 163,682/x
  3. Step 3: Cross multiply
    110,202x = 163,682 × 163,682
  4. Step 4: Simplify right side
    110,202x = 26,791,797,124
  5. Step 5: Solve for x
    x = 26,791,797,124/110,202
  6. Step 6: Final answer
    x = 243,115.34

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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.