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Finding the Third Proportional to 112,292 and 164,249

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Solution

The third proportional to 112,292 and 164,249 is: 240,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,292 : 164,249 = 164,249 : x
  2. Step 2: Convert to fraction form
    112,292/164,249 = 164,249/x
  3. Step 3: Cross multiply
    112,292x = 164,249 × 164,249
  4. Step 4: Simplify right side
    112,292x = 26,977,734,001
  5. Step 5: Solve for x
    x = 26,977,734,001/112,292
  6. Step 6: Final answer
    x = 240,246.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.