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Finding the Third Proportional to 72,076 and 108,978

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Solution

The third proportional to 72,076 and 108,978 is: 164,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,076 : 108,978 = 108,978 : x
  2. Step 2: Convert to fraction form
    72,076/108,978 = 108,978/x
  3. Step 3: Cross multiply
    72,076x = 108,978 × 108,978
  4. Step 4: Simplify right side
    72,076x = 11,876,204,484
  5. Step 5: Solve for x
    x = 11,876,204,484/72,076
  6. Step 6: Final answer
    x = 164,773.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.