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Finding the Third Proportional to 108,037 and 235,441

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Solution

The third proportional to 108,037 and 235,441 is: 513,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,037 : 235,441 = 235,441 : x
  2. Step 2: Convert to fraction form
    108,037/235,441 = 235,441/x
  3. Step 3: Cross multiply
    108,037x = 235,441 × 235,441
  4. Step 4: Simplify right side
    108,037x = 55,432,464,481
  5. Step 5: Solve for x
    x = 55,432,464,481/108,037
  6. Step 6: Final answer
    x = 513,087.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.