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Finding the Third Proportional to 97,019 and 136,941

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Solution

The third proportional to 97,019 and 136,941 is: 193,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,019 : 136,941 = 136,941 : x
  2. Step 2: Convert to fraction form
    97,019/136,941 = 136,941/x
  3. Step 3: Cross multiply
    97,019x = 136,941 × 136,941
  4. Step 4: Simplify right side
    97,019x = 18,752,837,481
  5. Step 5: Solve for x
    x = 18,752,837,481/97,019
  6. Step 6: Final answer
    x = 193,290.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.