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Finding the Third Proportional to 124,497.25 and 270,105.13

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Solution

The third proportional to 124,497.25 and 270,105.13 is: 586,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,497.25 : 270,105.13 = 270,105.13 : x
  2. Step 2: Convert to fraction form
    124,497.25/270,105.13 = 270,105.13/x
  3. Step 3: Cross multiply
    124,497.25x = 270,105.13 × 270,105.13
  4. Step 4: Simplify right side
    124,497.25x = 72,956,778,551.27
  5. Step 5: Solve for x
    x = 72,956,778,551.27/124,497.25
  6. Step 6: Final answer
    x = 586,011.17

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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.