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Finding the Third Proportional to 62,972 and 133,052

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Solution

The third proportional to 62,972 and 133,052 is: 281,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,972 : 133,052 = 133,052 : x
  2. Step 2: Convert to fraction form
    62,972/133,052 = 133,052/x
  3. Step 3: Cross multiply
    62,972x = 133,052 × 133,052
  4. Step 4: Simplify right side
    62,972x = 17,702,834,704
  5. Step 5: Solve for x
    x = 17,702,834,704/62,972
  6. Step 6: Final answer
    x = 281,122.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.