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Finding the Third Proportional to 66,033 and 98,809

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Solution

The third proportional to 66,033 and 98,809 is: 147,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,033 : 98,809 = 98,809 : x
  2. Step 2: Convert to fraction form
    66,033/98,809 = 98,809/x
  3. Step 3: Cross multiply
    66,033x = 98,809 × 98,809
  4. Step 4: Simplify right side
    66,033x = 9,763,218,481
  5. Step 5: Solve for x
    x = 9,763,218,481/66,033
  6. Step 6: Final answer
    x = 147,853.63

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Why These Related Problems?

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