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Finding the Third Proportional to 63,059 and 133,805

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Solution

The third proportional to 63,059 and 133,805 is: 283,921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,059 : 133,805 = 133,805 : x
  2. Step 2: Convert to fraction form
    63,059/133,805 = 133,805/x
  3. Step 3: Cross multiply
    63,059x = 133,805 × 133,805
  4. Step 4: Simplify right side
    63,059x = 17,903,778,025
  5. Step 5: Solve for x
    x = 17,903,778,025/63,059
  6. Step 6: Final answer
    x = 283,921.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.