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Finding the Third Proportional to 124,564 and 269,864

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Solution

The third proportional to 124,564 and 269,864 is: 584,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,564 : 269,864 = 269,864 : x
  2. Step 2: Convert to fraction form
    124,564/269,864 = 269,864/x
  3. Step 3: Cross multiply
    124,564x = 269,864 × 269,864
  4. Step 4: Simplify right side
    124,564x = 72,826,578,496
  5. Step 5: Solve for x
    x = 72,826,578,496/124,564
  6. Step 6: Final answer
    x = 584,651.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.