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Finding the Third Proportional to 112,876 and 240,752

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Solution

The third proportional to 112,876 and 240,752 is: 513,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,876 : 240,752 = 240,752 : x
  2. Step 2: Convert to fraction form
    112,876/240,752 = 240,752/x
  3. Step 3: Cross multiply
    112,876x = 240,752 × 240,752
  4. Step 4: Simplify right side
    112,876x = 57,961,525,504
  5. Step 5: Solve for x
    x = 57,961,525,504/112,876
  6. Step 6: Final answer
    x = 513,497.34

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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.