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Finding the Third Proportional to 112,513 and 240,092

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Solution

The third proportional to 112,513 and 240,092 is: 512,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,513 : 240,092 = 240,092 : x
  2. Step 2: Convert to fraction form
    112,513/240,092 = 240,092/x
  3. Step 3: Cross multiply
    112,513x = 240,092 × 240,092
  4. Step 4: Simplify right side
    112,513x = 57,644,168,464
  5. Step 5: Solve for x
    x = 57,644,168,464/112,513
  6. Step 6: Final answer
    x = 512,333.41

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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.