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Finding the Third Proportional to 62,286 and 134,938

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Solution

The third proportional to 62,286 and 134,938 is: 292,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,286 : 134,938 = 134,938 : x
  2. Step 2: Convert to fraction form
    62,286/134,938 = 134,938/x
  3. Step 3: Cross multiply
    62,286x = 134,938 × 134,938
  4. Step 4: Simplify right side
    62,286x = 18,208,263,844
  5. Step 5: Solve for x
    x = 18,208,263,844/62,286
  6. Step 6: Final answer
    x = 292,333.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.