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Finding the Third Proportional to 124,213.50 and 268,269.19

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Solution

The third proportional to 124,213.50 and 268,269.19 is: 579,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,213.50 : 268,269.19 = 268,269.19 : x
  2. Step 2: Convert to fraction form
    124,213.50/268,269.19 = 268,269.19/x
  3. Step 3: Cross multiply
    124,213.50x = 268,269.19 × 268,269.19
  4. Step 4: Simplify right side
    124,213.50x = 71,968,356,961.91
  5. Step 5: Solve for x
    x = 71,968,356,961.91/124,213.50
  6. Step 6: Final answer
    x = 579,392.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.