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Finding the Third Proportional to 68,004 and 99,930

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Solution

The third proportional to 68,004 and 99,930 is: 146,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,004 : 99,930 = 99,930 : x
  2. Step 2: Convert to fraction form
    68,004/99,930 = 99,930/x
  3. Step 3: Cross multiply
    68,004x = 99,930 × 99,930
  4. Step 4: Simplify right side
    68,004x = 9,986,004,900
  5. Step 5: Solve for x
    x = 9,986,004,900/68,004
  6. Step 6: Final answer
    x = 146,844.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.