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Finding the Third Proportional to 103,657 and 217,759

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Solution

The third proportional to 103,657 and 217,759 is: 457,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,657 : 217,759 = 217,759 : x
  2. Step 2: Convert to fraction form
    103,657/217,759 = 217,759/x
  3. Step 3: Cross multiply
    103,657x = 217,759 × 217,759
  4. Step 4: Simplify right side
    103,657x = 47,418,982,081
  5. Step 5: Solve for x
    x = 47,418,982,081/103,657
  6. Step 6: Final answer
    x = 457,460.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.