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Finding the Third Proportional to 124,499 and 270,109

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Solution

The third proportional to 124,499 and 270,109 is: 586,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,499 : 270,109 = 270,109 : x
  2. Step 2: Convert to fraction form
    124,499/270,109 = 270,109/x
  3. Step 3: Cross multiply
    124,499x = 270,109 × 270,109
  4. Step 4: Simplify right side
    124,499x = 72,958,871,881
  5. Step 5: Solve for x
    x = 72,958,871,881/124,499
  6. Step 6: Final answer
    x = 586,019.74

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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.