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Finding the Third Proportional to 62,887 and 133,036

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Solution

The third proportional to 62,887 and 133,036 is: 281,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,887 : 133,036 = 133,036 : x
  2. Step 2: Convert to fraction form
    62,887/133,036 = 133,036/x
  3. Step 3: Cross multiply
    62,887x = 133,036 × 133,036
  4. Step 4: Simplify right side
    62,887x = 17,698,577,296
  5. Step 5: Solve for x
    x = 17,698,577,296/62,887
  6. Step 6: Final answer
    x = 281,434.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.