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Finding the Third Proportional to 122,087.25 and 253,530.75

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Solution

The third proportional to 122,087.25 and 253,530.75 is: 526,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,087.25 : 253,530.75 = 253,530.75 : x
  2. Step 2: Convert to fraction form
    122,087.25/253,530.75 = 253,530.75/x
  3. Step 3: Cross multiply
    122,087.25x = 253,530.75 × 253,530.75
  4. Step 4: Simplify right side
    122,087.25x = 64,277,841,195.56
  5. Step 5: Solve for x
    x = 64,277,841,195.56/122,087.25
  6. Step 6: Final answer
    x = 526,491.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.