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Finding the Third Proportional to 105,682 and 163,889

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Solution

The third proportional to 105,682 and 163,889 is: 254,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,682 : 163,889 = 163,889 : x
  2. Step 2: Convert to fraction form
    105,682/163,889 = 163,889/x
  3. Step 3: Cross multiply
    105,682x = 163,889 × 163,889
  4. Step 4: Simplify right side
    105,682x = 26,859,604,321
  5. Step 5: Solve for x
    x = 26,859,604,321/105,682
  6. Step 6: Final answer
    x = 254,154.96

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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.