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Finding the Third Proportional to 43,020 and 93,978

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Solution

The third proportional to 43,020 and 93,978 is: 205,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,020 : 93,978 = 93,978 : x
  2. Step 2: Convert to fraction form
    43,020/93,978 = 93,978/x
  3. Step 3: Cross multiply
    43,020x = 93,978 × 93,978
  4. Step 4: Simplify right side
    43,020x = 8,831,864,484
  5. Step 5: Solve for x
    x = 8,831,864,484/43,020
  6. Step 6: Final answer
    x = 205,296.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.