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Finding the Third Proportional to 42,168 and 61,983

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Solution

The third proportional to 42,168 and 61,983 is: 91,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,168 : 61,983 = 61,983 : x
  2. Step 2: Convert to fraction form
    42,168/61,983 = 61,983/x
  3. Step 3: Cross multiply
    42,168x = 61,983 × 61,983
  4. Step 4: Simplify right side
    42,168x = 3,841,892,289
  5. Step 5: Solve for x
    x = 3,841,892,289/42,168
  6. Step 6: Final answer
    x = 91,109.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.