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Finding the Third Proportional to 103,060 and 218,756

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Solution

The third proportional to 103,060 and 218,756 is: 464,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,060 : 218,756 = 218,756 : x
  2. Step 2: Convert to fraction form
    103,060/218,756 = 218,756/x
  3. Step 3: Cross multiply
    103,060x = 218,756 × 218,756
  4. Step 4: Simplify right side
    103,060x = 47,854,187,536
  5. Step 5: Solve for x
    x = 47,854,187,536/103,060
  6. Step 6: Final answer
    x = 464,333.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.