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Finding the Third Proportional to 73,616 and 110,978

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Solution

The third proportional to 73,616 and 110,978 is: 167,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,616 : 110,978 = 110,978 : x
  2. Step 2: Convert to fraction form
    73,616/110,978 = 110,978/x
  3. Step 3: Cross multiply
    73,616x = 110,978 × 110,978
  4. Step 4: Simplify right side
    73,616x = 12,316,116,484
  5. Step 5: Solve for x
    x = 12,316,116,484/73,616
  6. Step 6: Final answer
    x = 167,302.17

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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.