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Finding the Third Proportional to 43,037 and 101,757

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Solution

The third proportional to 43,037 and 101,757 is: 240,595.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,037 : 101,757 = 101,757 : x
  2. Step 2: Convert to fraction form
    43,037/101,757 = 101,757/x
  3. Step 3: Cross multiply
    43,037x = 101,757 × 101,757
  4. Step 4: Simplify right side
    43,037x = 10,354,487,049
  5. Step 5: Solve for x
    x = 10,354,487,049/43,037
  6. Step 6: Final answer
    x = 240,595.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.