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Finding the Third Proportional to 62,177 and 133,079

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Solution

The third proportional to 62,177 and 133,079 is: 284,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,177 : 133,079 = 133,079 : x
  2. Step 2: Convert to fraction form
    62,177/133,079 = 133,079/x
  3. Step 3: Cross multiply
    62,177x = 133,079 × 133,079
  4. Step 4: Simplify right side
    62,177x = 17,710,020,241
  5. Step 5: Solve for x
    x = 17,710,020,241/62,177
  6. Step 6: Final answer
    x = 284,832.34

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Why These Related Problems?

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