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Finding the Third Proportional to 97,022 and 136,944

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Solution

The third proportional to 97,022 and 136,944 is: 193,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,022 : 136,944 = 136,944 : x
  2. Step 2: Convert to fraction form
    97,022/136,944 = 136,944/x
  3. Step 3: Cross multiply
    97,022x = 136,944 × 136,944
  4. Step 4: Simplify right side
    97,022x = 18,753,659,136
  5. Step 5: Solve for x
    x = 18,753,659,136/97,022
  6. Step 6: Final answer
    x = 193,292.85

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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.