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Finding the Third Proportional to 124,131 and 265,757.25

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Solution

The third proportional to 124,131 and 265,757.25 is: 568,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,131 : 265,757.25 = 265,757.25 : x
  2. Step 2: Convert to fraction form
    124,131/265,757.25 = 265,757.25/x
  3. Step 3: Cross multiply
    124,131x = 265,757.25 × 265,757.25
  4. Step 4: Simplify right side
    124,131x = 70,626,915,927.56
  5. Step 5: Solve for x
    x = 70,626,915,927.56/124,131
  6. Step 6: Final answer
    x = 568,970.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.