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Finding the Third Proportional to 122,444 and 185,514

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Solution

The third proportional to 122,444 and 185,514 is: 281,070.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,444 : 185,514 = 185,514 : x
  2. Step 2: Convert to fraction form
    122,444/185,514 = 185,514/x
  3. Step 3: Cross multiply
    122,444x = 185,514 × 185,514
  4. Step 4: Simplify right side
    122,444x = 34,415,444,196
  5. Step 5: Solve for x
    x = 34,415,444,196/122,444
  6. Step 6: Final answer
    x = 281,070.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.