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Finding the Third Proportional to 112,168 and 247,666

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Solution

The third proportional to 112,168 and 247,666 is: 546,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,168 : 247,666 = 247,666 : x
  2. Step 2: Convert to fraction form
    112,168/247,666 = 247,666/x
  3. Step 3: Cross multiply
    112,168x = 247,666 × 247,666
  4. Step 4: Simplify right side
    112,168x = 61,338,447,556
  5. Step 5: Solve for x
    x = 61,338,447,556/112,168
  6. Step 6: Final answer
    x = 546,844.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.