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Finding the Third Proportional to 62,938 and 131,008

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Solution

The third proportional to 62,938 and 131,008 is: 272,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,938 : 131,008 = 131,008 : x
  2. Step 2: Convert to fraction form
    62,938/131,008 = 131,008/x
  3. Step 3: Cross multiply
    62,938x = 131,008 × 131,008
  4. Step 4: Simplify right side
    62,938x = 17,163,096,064
  5. Step 5: Solve for x
    x = 17,163,096,064/62,938
  6. Step 6: Final answer
    x = 272,698.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.