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Finding the Third Proportional to 42,733.50 and 91,299

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Solution

The third proportional to 42,733.50 and 91,299 is: 195,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,733.50 : 91,299 = 91,299 : x
  2. Step 2: Convert to fraction form
    42,733.50/91,299 = 91,299/x
  3. Step 3: Cross multiply
    42,733.50x = 91,299 × 91,299
  4. Step 4: Simplify right side
    42,733.50x = 8,335,507,401
  5. Step 5: Solve for x
    x = 8,335,507,401/42,733.50
  6. Step 6: Final answer
    x = 195,057.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.