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Finding the Third Proportional to 122,033.25 and 265,057.31

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Solution

The third proportional to 122,033.25 and 265,057.31 is: 575,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,033.25 : 265,057.31 = 265,057.31 : x
  2. Step 2: Convert to fraction form
    122,033.25/265,057.31 = 265,057.31/x
  3. Step 3: Cross multiply
    122,033.25x = 265,057.31 × 265,057.31
  4. Step 4: Simplify right side
    122,033.25x = 70,255,378,909.72
  5. Step 5: Solve for x
    x = 70,255,378,909.72/122,033.25
  6. Step 6: Final answer
    x = 575,706.86

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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.