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Finding the Third Proportional to 73,772 and 158,295

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Solution

The third proportional to 73,772 and 158,295 is: 339,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,772 : 158,295 = 158,295 : x
  2. Step 2: Convert to fraction form
    73,772/158,295 = 158,295/x
  3. Step 3: Cross multiply
    73,772x = 158,295 × 158,295
  4. Step 4: Simplify right side
    73,772x = 25,057,307,025
  5. Step 5: Solve for x
    x = 25,057,307,025/73,772
  6. Step 6: Final answer
    x = 339,658.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.