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Finding the Third Proportional to 133,056 and 194,616

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Solution

The third proportional to 133,056 and 194,616 is: 284,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,056 : 194,616 = 194,616 : x
  2. Step 2: Convert to fraction form
    133,056/194,616 = 194,616/x
  3. Step 3: Cross multiply
    133,056x = 194,616 × 194,616
  4. Step 4: Simplify right side
    133,056x = 37,875,387,456
  5. Step 5: Solve for x
    x = 37,875,387,456/133,056
  6. Step 6: Final answer
    x = 284,657.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.