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Finding the Third Proportional to 49,922 and 68,402

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Solution

The third proportional to 49,922 and 68,402 is: 93,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,922 : 68,402 = 68,402 : x
  2. Step 2: Convert to fraction form
    49,922/68,402 = 68,402/x
  3. Step 3: Cross multiply
    49,922x = 68,402 × 68,402
  4. Step 4: Simplify right side
    49,922x = 4,678,833,604
  5. Step 5: Solve for x
    x = 4,678,833,604/49,922
  6. Step 6: Final answer
    x = 93,722.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.