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Finding the Third Proportional to 106,900 and 232,015

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Solution

The third proportional to 106,900 and 232,015 is: 503,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,900 : 232,015 = 232,015 : x
  2. Step 2: Convert to fraction form
    106,900/232,015 = 232,015/x
  3. Step 3: Cross multiply
    106,900x = 232,015 × 232,015
  4. Step 4: Simplify right side
    106,900x = 53,830,960,225
  5. Step 5: Solve for x
    x = 53,830,960,225/106,900
  6. Step 6: Final answer
    x = 503,563.71

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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.