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Finding the Third Proportional to 41,235 and 88,299

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Solution

The third proportional to 41,235 and 88,299 is: 189,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,235 : 88,299 = 88,299 : x
  2. Step 2: Convert to fraction form
    41,235/88,299 = 88,299/x
  3. Step 3: Cross multiply
    41,235x = 88,299 × 88,299
  4. Step 4: Simplify right side
    41,235x = 7,796,713,401
  5. Step 5: Solve for x
    x = 7,796,713,401/41,235
  6. Step 6: Final answer
    x = 189,079.99

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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.