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Finding the Third Proportional to 45,757 and 99,235

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Solution

The third proportional to 45,757 and 99,235 is: 215,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,757 : 99,235 = 99,235 : x
  2. Step 2: Convert to fraction form
    45,757/99,235 = 99,235/x
  3. Step 3: Cross multiply
    45,757x = 99,235 × 99,235
  4. Step 4: Simplify right side
    45,757x = 9,847,585,225
  5. Step 5: Solve for x
    x = 9,847,585,225/45,757
  6. Step 6: Final answer
    x = 215,214.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.