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Finding the Third Proportional to 61,936 and 94,906

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Solution

The third proportional to 61,936 and 94,906 is: 145,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,936 : 94,906 = 94,906 : x
  2. Step 2: Convert to fraction form
    61,936/94,906 = 94,906/x
  3. Step 3: Cross multiply
    61,936x = 94,906 × 94,906
  4. Step 4: Simplify right side
    61,936x = 9,007,148,836
  5. Step 5: Solve for x
    x = 9,007,148,836/61,936
  6. Step 6: Final answer
    x = 145,426.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.