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Finding the Third Proportional to 93,978 and 137,439

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Solution

The third proportional to 93,978 and 137,439 is: 200,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,978 : 137,439 = 137,439 : x
  2. Step 2: Convert to fraction form
    93,978/137,439 = 137,439/x
  3. Step 3: Cross multiply
    93,978x = 137,439 × 137,439
  4. Step 4: Simplify right side
    93,978x = 18,889,478,721
  5. Step 5: Solve for x
    x = 18,889,478,721/93,978
  6. Step 6: Final answer
    x = 200,998.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.