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Finding the Third Proportional to 93,089.25 and 143,847

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Solution

The third proportional to 93,089.25 and 143,847 is: 222,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,089.25 : 143,847 = 143,847 : x
  2. Step 2: Convert to fraction form
    93,089.25/143,847 = 143,847/x
  3. Step 3: Cross multiply
    93,089.25x = 143,847 × 143,847
  4. Step 4: Simplify right side
    93,089.25x = 20,691,959,409
  5. Step 5: Solve for x
    x = 20,691,959,409/93,089.25
  6. Step 6: Final answer
    x = 222,280.87

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Why These Related Problems?

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