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Finding the Third Proportional to 57,978 and 93,254

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Solution

The third proportional to 57,978 and 93,254 is: 149,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,978 : 93,254 = 93,254 : x
  2. Step 2: Convert to fraction form
    57,978/93,254 = 93,254/x
  3. Step 3: Cross multiply
    57,978x = 93,254 × 93,254
  4. Step 4: Simplify right side
    57,978x = 8,696,308,516
  5. Step 5: Solve for x
    x = 8,696,308,516/57,978
  6. Step 6: Final answer
    x = 149,993.25

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.