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Finding the Third Proportional to 122,082.19 and 253,519.88

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Solution

The third proportional to 122,082.19 and 253,519.88 is: 526,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,082.19 : 253,519.88 = 253,519.88 : x
  2. Step 2: Convert to fraction form
    122,082.19/253,519.88 = 253,519.88/x
  3. Step 3: Cross multiply
    122,082.19x = 253,519.88 × 253,519.88
  4. Step 4: Simplify right side
    122,082.19x = 64,272,327,020.02
  5. Step 5: Solve for x
    x = 64,272,327,020.02/122,082.19
  6. Step 6: Final answer
    x = 526,467.69

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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.