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Finding the Third Proportional to 122,131.13 and 265,151.25

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Solution

The third proportional to 122,131.13 and 265,151.25 is: 575,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,131.13 : 265,151.25 = 265,151.25 : x
  2. Step 2: Convert to fraction form
    122,131.13/265,151.25 = 265,151.25/x
  3. Step 3: Cross multiply
    122,131.13x = 265,151.25 × 265,151.25
  4. Step 4: Simplify right side
    122,131.13x = 70,305,185,376.56
  5. Step 5: Solve for x
    x = 70,305,185,376.56/122,131.13
  6. Step 6: Final answer
    x = 575,653.30

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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.