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Finding the Third Proportional to 112,770 and 248,868

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Solution

The third proportional to 112,770 and 248,868 is: 549,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,770 : 248,868 = 248,868 : x
  2. Step 2: Convert to fraction form
    112,770/248,868 = 248,868/x
  3. Step 3: Cross multiply
    112,770x = 248,868 × 248,868
  4. Step 4: Simplify right side
    112,770x = 61,935,281,424
  5. Step 5: Solve for x
    x = 61,935,281,424/112,770
  6. Step 6: Final answer
    x = 549,217.71

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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.