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Finding the Third Proportional to 73,773 and 158,297

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Solution

The third proportional to 73,773 and 158,297 is: 339,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,773 : 158,297 = 158,297 : x
  2. Step 2: Convert to fraction form
    73,773/158,297 = 158,297/x
  3. Step 3: Cross multiply
    73,773x = 158,297 × 158,297
  4. Step 4: Simplify right side
    73,773x = 25,057,940,209
  5. Step 5: Solve for x
    x = 25,057,940,209/73,773
  6. Step 6: Final answer
    x = 339,662.75

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Why These Related Problems?

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