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Finding the Third Proportional to 42,342.75 and 93,324

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Solution

The third proportional to 42,342.75 and 93,324 is: 205,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,342.75 : 93,324 = 93,324 : x
  2. Step 2: Convert to fraction form
    42,342.75/93,324 = 93,324/x
  3. Step 3: Cross multiply
    42,342.75x = 93,324 × 93,324
  4. Step 4: Simplify right side
    42,342.75x = 8,709,368,976
  5. Step 5: Solve for x
    x = 8,709,368,976/42,342.75
  6. Step 6: Final answer
    x = 205,687.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.