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Finding the Third Proportional to 67,087 and 139,619

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Solution

The third proportional to 67,087 and 139,619 is: 290,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,087 : 139,619 = 139,619 : x
  2. Step 2: Convert to fraction form
    67,087/139,619 = 139,619/x
  3. Step 3: Cross multiply
    67,087x = 139,619 × 139,619
  4. Step 4: Simplify right side
    67,087x = 19,493,465,161
  5. Step 5: Solve for x
    x = 19,493,465,161/67,087
  6. Step 6: Final answer
    x = 290,569.93

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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.