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Finding the Third Proportional to 73,233 and 159,894

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Solution

The third proportional to 73,233 and 159,894 is: 349,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,233 : 159,894 = 159,894 : x
  2. Step 2: Convert to fraction form
    73,233/159,894 = 159,894/x
  3. Step 3: Cross multiply
    73,233x = 159,894 × 159,894
  4. Step 4: Simplify right side
    73,233x = 25,566,091,236
  5. Step 5: Solve for x
    x = 25,566,091,236/73,233
  6. Step 6: Final answer
    x = 349,106.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.