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Finding the Third Proportional to 42,192 and 65,592

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Solution

The third proportional to 42,192 and 65,592 is: 101,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,192 : 65,592 = 65,592 : x
  2. Step 2: Convert to fraction form
    42,192/65,592 = 65,592/x
  3. Step 3: Cross multiply
    42,192x = 65,592 × 65,592
  4. Step 4: Simplify right side
    42,192x = 4,302,310,464
  5. Step 5: Solve for x
    x = 4,302,310,464/42,192
  6. Step 6: Final answer
    x = 101,969.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.