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Finding the Third Proportional to 73,696.50 and 157,908

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Solution

The third proportional to 73,696.50 and 157,908 is: 338,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,696.50 : 157,908 = 157,908 : x
  2. Step 2: Convert to fraction form
    73,696.50/157,908 = 157,908/x
  3. Step 3: Cross multiply
    73,696.50x = 157,908 × 157,908
  4. Step 4: Simplify right side
    73,696.50x = 24,934,936,464
  5. Step 5: Solve for x
    x = 24,934,936,464/73,696.50
  6. Step 6: Final answer
    x = 338,346.28

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