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Finding the Third Proportional to 73,692 and 157,899

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Solution

The third proportional to 73,692 and 157,899 is: 338,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,692 : 157,899 = 157,899 : x
  2. Step 2: Convert to fraction form
    73,692/157,899 = 157,899/x
  3. Step 3: Cross multiply
    73,692x = 157,899 × 157,899
  4. Step 4: Simplify right side
    73,692x = 24,932,094,201
  5. Step 5: Solve for x
    x = 24,932,094,201/73,692
  6. Step 6: Final answer
    x = 338,328.37

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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.