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Finding the Third Proportional to 67,191 and 139,908

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Solution

The third proportional to 67,191 and 139,908 is: 291,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,191 : 139,908 = 139,908 : x
  2. Step 2: Convert to fraction form
    67,191/139,908 = 139,908/x
  3. Step 3: Cross multiply
    67,191x = 139,908 × 139,908
  4. Step 4: Simplify right side
    67,191x = 19,574,248,464
  5. Step 5: Solve for x
    x = 19,574,248,464/67,191
  6. Step 6: Final answer
    x = 291,322.48

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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.