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Finding the Third Proportional to 62,141 and 132,990

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Solution

The third proportional to 62,141 and 132,990 is: 284,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,141 : 132,990 = 132,990 : x
  2. Step 2: Convert to fraction form
    62,141/132,990 = 132,990/x
  3. Step 3: Cross multiply
    62,141x = 132,990 × 132,990
  4. Step 4: Simplify right side
    62,141x = 17,686,340,100
  5. Step 5: Solve for x
    x = 17,686,340,100/62,141
  6. Step 6: Final answer
    x = 284,616.28

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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.