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Finding the Third Proportional to 67,023 and 139,558

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Solution

The third proportional to 67,023 and 139,558 is: 290,593.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,023 : 139,558 = 139,558 : x
  2. Step 2: Convert to fraction form
    67,023/139,558 = 139,558/x
  3. Step 3: Cross multiply
    67,023x = 139,558 × 139,558
  4. Step 4: Simplify right side
    67,023x = 19,476,435,364
  5. Step 5: Solve for x
    x = 19,476,435,364/67,023
  6. Step 6: Final answer
    x = 290,593.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.