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Finding the Third Proportional to 106,944 and 232,102

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Solution

The third proportional to 106,944 and 232,102 is: 503,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,944 : 232,102 = 232,102 : x
  2. Step 2: Convert to fraction form
    106,944/232,102 = 232,102/x
  3. Step 3: Cross multiply
    106,944x = 232,102 × 232,102
  4. Step 4: Simplify right side
    106,944x = 53,871,338,404
  5. Step 5: Solve for x
    x = 53,871,338,404/106,944
  6. Step 6: Final answer
    x = 503,734.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.