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Finding the Third Proportional to 72,936 and 168,950.25

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Solution

The third proportional to 72,936 and 168,950.25 is: 391,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,936 : 168,950.25 = 168,950.25 : x
  2. Step 2: Convert to fraction form
    72,936/168,950.25 = 168,950.25/x
  3. Step 3: Cross multiply
    72,936x = 168,950.25 × 168,950.25
  4. Step 4: Simplify right side
    72,936x = 28,544,186,975.06
  5. Step 5: Solve for x
    x = 28,544,186,975.06/72,936
  6. Step 6: Final answer
    x = 391,359.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.