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Finding the Third Proportional to 61,938 and 133,812

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Solution

The third proportional to 61,938 and 133,812 is: 289,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,938 : 133,812 = 133,812 : x
  2. Step 2: Convert to fraction form
    61,938/133,812 = 133,812/x
  3. Step 3: Cross multiply
    61,938x = 133,812 × 133,812
  4. Step 4: Simplify right side
    61,938x = 17,905,651,344
  5. Step 5: Solve for x
    x = 17,905,651,344/61,938
  6. Step 6: Final answer
    x = 289,089.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.