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Finding the Third Proportional to 66,838 and 99,930

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Solution

The third proportional to 66,838 and 99,930 is: 149,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,838 : 99,930 = 99,930 : x
  2. Step 2: Convert to fraction form
    66,838/99,930 = 99,930/x
  3. Step 3: Cross multiply
    66,838x = 99,930 × 99,930
  4. Step 4: Simplify right side
    66,838x = 9,986,004,900
  5. Step 5: Solve for x
    x = 9,986,004,900/66,838
  6. Step 6: Final answer
    x = 149,406.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.