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Finding the Third Proportional to 106,032 and 231,117

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Solution

The third proportional to 106,032 and 231,117 is: 503,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,032 : 231,117 = 231,117 : x
  2. Step 2: Convert to fraction form
    106,032/231,117 = 231,117/x
  3. Step 3: Cross multiply
    106,032x = 231,117 × 231,117
  4. Step 4: Simplify right side
    106,032x = 53,415,067,689
  5. Step 5: Solve for x
    x = 53,415,067,689/106,032
  6. Step 6: Final answer
    x = 503,763.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.