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Finding the Third Proportional to 106,939 and 232,091

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Solution

The third proportional to 106,939 and 232,091 is: 503,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,939 : 232,091 = 232,091 : x
  2. Step 2: Convert to fraction form
    106,939/232,091 = 232,091/x
  3. Step 3: Cross multiply
    106,939x = 232,091 × 232,091
  4. Step 4: Simplify right side
    106,939x = 53,866,232,281
  5. Step 5: Solve for x
    x = 53,866,232,281/106,939
  6. Step 6: Final answer
    x = 503,709.89

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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.