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Finding the Third Proportional to 33,449 and 73,117

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Solution

The third proportional to 33,449 and 73,117 is: 159,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,449 : 73,117 = 73,117 : x
  2. Step 2: Convert to fraction form
    33,449/73,117 = 73,117/x
  3. Step 3: Cross multiply
    33,449x = 73,117 × 73,117
  4. Step 4: Simplify right side
    33,449x = 5,346,095,689
  5. Step 5: Solve for x
    x = 5,346,095,689/33,449
  6. Step 6: Final answer
    x = 159,828.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.