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Finding the Third Proportional to 42,692 and 67,881

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Solution

The third proportional to 42,692 and 67,881 is: 107,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,692 : 67,881 = 67,881 : x
  2. Step 2: Convert to fraction form
    42,692/67,881 = 67,881/x
  3. Step 3: Cross multiply
    42,692x = 67,881 × 67,881
  4. Step 4: Simplify right side
    42,692x = 4,607,830,161
  5. Step 5: Solve for x
    x = 4,607,830,161/42,692
  6. Step 6: Final answer
    x = 107,931.93

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.