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Finding the Third Proportional to 29,894 and 68,900

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Solution

The third proportional to 29,894 and 68,900 is: 158,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894 : 68,900 = 68,900 : x
  2. Step 2: Convert to fraction form
    29,894/68,900 = 68,900/x
  3. Step 3: Cross multiply
    29,894x = 68,900 × 68,900
  4. Step 4: Simplify right side
    29,894x = 4,747,210,000
  5. Step 5: Solve for x
    x = 4,747,210,000/29,894
  6. Step 6: Final answer
    x = 158,801.43

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.