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Finding the Third Proportional to 93,978 and 145,743

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Solution

The third proportional to 93,978 and 145,743 is: 226,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,978 : 145,743 = 145,743 : x
  2. Step 2: Convert to fraction form
    93,978/145,743 = 145,743/x
  3. Step 3: Cross multiply
    93,978x = 145,743 × 145,743
  4. Step 4: Simplify right side
    93,978x = 21,241,022,049
  5. Step 5: Solve for x
    x = 21,241,022,049/93,978
  6. Step 6: Final answer
    x = 226,021.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.