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Finding the Third Proportional to 102,338 and 163,986

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Solution

The third proportional to 102,338 and 163,986 is: 262,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,338 : 163,986 = 163,986 : x
  2. Step 2: Convert to fraction form
    102,338/163,986 = 163,986/x
  3. Step 3: Cross multiply
    102,338x = 163,986 × 163,986
  4. Step 4: Simplify right side
    102,338x = 26,891,408,196
  5. Step 5: Solve for x
    x = 26,891,408,196/102,338
  6. Step 6: Final answer
    x = 262,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.