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Finding the Third Proportional to 38,172 and 78,942

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Solution

The third proportional to 38,172 and 78,942 is: 163,256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,172 : 78,942 = 78,942 : x
  2. Step 2: Convert to fraction form
    38,172/78,942 = 78,942/x
  3. Step 3: Cross multiply
    38,172x = 78,942 × 78,942
  4. Step 4: Simplify right side
    38,172x = 6,231,839,364
  5. Step 5: Solve for x
    x = 6,231,839,364/38,172
  6. Step 6: Final answer
    x = 163,256.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.