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Finding the Third Proportional to 124,131.75 and 265,758.75

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Solution

The third proportional to 124,131.75 and 265,758.75 is: 568,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,131.75 : 265,758.75 = 265,758.75 : x
  2. Step 2: Convert to fraction form
    124,131.75/265,758.75 = 265,758.75/x
  3. Step 3: Cross multiply
    124,131.75x = 265,758.75 × 265,758.75
  4. Step 4: Simplify right side
    124,131.75x = 70,627,713,201.56
  5. Step 5: Solve for x
    x = 70,627,713,201.56/124,131.75
  6. Step 6: Final answer
    x = 568,973.80

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