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Finding the Third Proportional to 62,211 and 134,141

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Solution

The third proportional to 62,211 and 134,141 is: 289,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,211 : 134,141 = 134,141 : x
  2. Step 2: Convert to fraction form
    62,211/134,141 = 134,141/x
  3. Step 3: Cross multiply
    62,211x = 134,141 × 134,141
  4. Step 4: Simplify right side
    62,211x = 17,993,807,881
  5. Step 5: Solve for x
    x = 17,993,807,881/62,211
  6. Step 6: Final answer
    x = 289,238.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.