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Finding the Third Proportional to 42,978 and 93,324

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Solution

The third proportional to 42,978 and 93,324 is: 202,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,978 : 93,324 = 93,324 : x
  2. Step 2: Convert to fraction form
    42,978/93,324 = 93,324/x
  3. Step 3: Cross multiply
    42,978x = 93,324 × 93,324
  4. Step 4: Simplify right side
    42,978x = 8,709,368,976
  5. Step 5: Solve for x
    x = 8,709,368,976/42,978
  6. Step 6: Final answer
    x = 202,647.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.