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Finding the Third Proportional to 122,092.31 and 253,540.13

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Solution

The third proportional to 122,092.31 and 253,540.13 is: 526,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,092.31 : 253,540.13 = 253,540.13 : x
  2. Step 2: Convert to fraction form
    122,092.31/253,540.13 = 253,540.13/x
  3. Step 3: Cross multiply
    122,092.31x = 253,540.13 × 253,540.13
  4. Step 4: Simplify right side
    122,092.31x = 64,282,594,985.02
  5. Step 5: Solve for x
    x = 64,282,594,985.02/122,092.31
  6. Step 6: Final answer
    x = 526,508.13

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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.