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Finding the Third Proportional to 112,514 and 240,093

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Solution

The third proportional to 112,514 and 240,093 is: 512,333.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,514 : 240,093 = 240,093 : x
  2. Step 2: Convert to fraction form
    112,514/240,093 = 240,093/x
  3. Step 3: Cross multiply
    112,514x = 240,093 × 240,093
  4. Step 4: Simplify right side
    112,514x = 57,644,648,649
  5. Step 5: Solve for x
    x = 57,644,648,649/112,514
  6. Step 6: Final answer
    x = 512,333.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.