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Finding the Third Proportional to 62,138 and 132,984

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Solution

The third proportional to 62,138 and 132,984 is: 284,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,138 : 132,984 = 132,984 : x
  2. Step 2: Convert to fraction form
    62,138/132,984 = 132,984/x
  3. Step 3: Cross multiply
    62,138x = 132,984 × 132,984
  4. Step 4: Simplify right side
    62,138x = 17,684,744,256
  5. Step 5: Solve for x
    x = 17,684,744,256/62,138
  6. Step 6: Final answer
    x = 284,604.34

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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.