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Finding the Third Proportional to 67,961 and 103,440

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Solution

The third proportional to 67,961 and 103,440 is: 157,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,961 : 103,440 = 103,440 : x
  2. Step 2: Convert to fraction form
    67,961/103,440 = 103,440/x
  3. Step 3: Cross multiply
    67,961x = 103,440 × 103,440
  4. Step 4: Simplify right side
    67,961x = 10,699,833,600
  5. Step 5: Solve for x
    x = 10,699,833,600/67,961
  6. Step 6: Final answer
    x = 157,440.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.