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Finding the Third Proportional to 61,942 and 94,908

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Solution

The third proportional to 61,942 and 94,908 is: 145,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,942 : 94,908 = 94,908 : x
  2. Step 2: Convert to fraction form
    61,942/94,908 = 94,908/x
  3. Step 3: Cross multiply
    61,942x = 94,908 × 94,908
  4. Step 4: Simplify right side
    61,942x = 9,007,528,464
  5. Step 5: Solve for x
    x = 9,007,528,464/61,942
  6. Step 6: Final answer
    x = 145,418.75

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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.