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Finding the Third Proportional to 124,274 and 261,796

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Solution

The third proportional to 124,274 and 261,796 is: 551,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,274 : 261,796 = 261,796 : x
  2. Step 2: Convert to fraction form
    124,274/261,796 = 261,796/x
  3. Step 3: Cross multiply
    124,274x = 261,796 × 261,796
  4. Step 4: Simplify right side
    124,274x = 68,537,145,616
  5. Step 5: Solve for x
    x = 68,537,145,616/124,274
  6. Step 6: Final answer
    x = 551,500.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.