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Finding the Third Proportional to 103,059 and 163,934

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Solution

The third proportional to 103,059 and 163,934 is: 260,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,059 : 163,934 = 163,934 : x
  2. Step 2: Convert to fraction form
    103,059/163,934 = 163,934/x
  3. Step 3: Cross multiply
    103,059x = 163,934 × 163,934
  4. Step 4: Simplify right side
    103,059x = 26,874,356,356
  5. Step 5: Solve for x
    x = 26,874,356,356/103,059
  6. Step 6: Final answer
    x = 260,766.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.