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Finding the Third Proportional to 124,744.50 and 270,812.25

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Solution

The third proportional to 124,744.50 and 270,812.25 is: 587,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,744.50 : 270,812.25 = 270,812.25 : x
  2. Step 2: Convert to fraction form
    124,744.50/270,812.25 = 270,812.25/x
  3. Step 3: Cross multiply
    124,744.50x = 270,812.25 × 270,812.25
  4. Step 4: Simplify right side
    124,744.50x = 73,339,274,750.06
  5. Step 5: Solve for x
    x = 73,339,274,750.06/124,744.50
  6. Step 6: Final answer
    x = 587,915.90

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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.