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Finding the Third Proportional to 73,699 and 157,912

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Solution

The third proportional to 73,699 and 157,912 is: 338,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,699 : 157,912 = 157,912 : x
  2. Step 2: Convert to fraction form
    73,699/157,912 = 157,912/x
  3. Step 3: Cross multiply
    73,699x = 157,912 × 157,912
  4. Step 4: Simplify right side
    73,699x = 24,936,199,744
  5. Step 5: Solve for x
    x = 24,936,199,744/73,699
  6. Step 6: Final answer
    x = 338,351.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.