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Finding the Third Proportional to 74,172 and 93,978

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Solution

The third proportional to 74,172 and 93,978 is: 119,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,172 : 93,978 = 93,978 : x
  2. Step 2: Convert to fraction form
    74,172/93,978 = 93,978/x
  3. Step 3: Cross multiply
    74,172x = 93,978 × 93,978
  4. Step 4: Simplify right side
    74,172x = 8,831,864,484
  5. Step 5: Solve for x
    x = 8,831,864,484/74,172
  6. Step 6: Final answer
    x = 119,072.76

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.