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Finding the Third Proportional to 93,997.50 and 145,618.50

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Solution

The third proportional to 93,997.50 and 145,618.50 is: 225,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,997.50 : 145,618.50 = 145,618.50 : x
  2. Step 2: Convert to fraction form
    93,997.50/145,618.50 = 145,618.50/x
  3. Step 3: Cross multiply
    93,997.50x = 145,618.50 × 145,618.50
  4. Step 4: Simplify right side
    93,997.50x = 21,204,747,542.25
  5. Step 5: Solve for x
    x = 21,204,747,542.25/93,997.50
  6. Step 6: Final answer
    x = 225,588.42

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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.