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Finding the Third Proportional to 67,356 and 139,086

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Solution

The third proportional to 67,356 and 139,086 is: 287,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,356 : 139,086 = 139,086 : x
  2. Step 2: Convert to fraction form
    67,356/139,086 = 139,086/x
  3. Step 3: Cross multiply
    67,356x = 139,086 × 139,086
  4. Step 4: Simplify right side
    67,356x = 19,344,915,396
  5. Step 5: Solve for x
    x = 19,344,915,396/67,356
  6. Step 6: Final answer
    x = 287,204.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.