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Finding the Third Proportional to 42,997.50 and 94,257

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Solution

The third proportional to 42,997.50 and 94,257 is: 206,625.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,997.50 : 94,257 = 94,257 : x
  2. Step 2: Convert to fraction form
    42,997.50/94,257 = 94,257/x
  3. Step 3: Cross multiply
    42,997.50x = 94,257 × 94,257
  4. Step 4: Simplify right side
    42,997.50x = 8,884,382,049
  5. Step 5: Solve for x
    x = 8,884,382,049/42,997.50
  6. Step 6: Final answer
    x = 206,625.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.