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Finding the Third Proportional to 73,144 and 157,664

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Solution

The third proportional to 73,144 and 157,664 is: 339,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,144 : 157,664 = 157,664 : x
  2. Step 2: Convert to fraction form
    73,144/157,664 = 157,664/x
  3. Step 3: Cross multiply
    73,144x = 157,664 × 157,664
  4. Step 4: Simplify right side
    73,144x = 24,857,936,896
  5. Step 5: Solve for x
    x = 24,857,936,896/73,144
  6. Step 6: Final answer
    x = 339,849.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.