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Finding the Third Proportional to 112,292 and 168,895

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Solution

The third proportional to 112,292 and 168,895 is: 254,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,292 : 168,895 = 168,895 : x
  2. Step 2: Convert to fraction form
    112,292/168,895 = 168,895/x
  3. Step 3: Cross multiply
    112,292x = 168,895 × 168,895
  4. Step 4: Simplify right side
    112,292x = 28,525,521,025
  5. Step 5: Solve for x
    x = 28,525,521,025/112,292
  6. Step 6: Final answer
    x = 254,029.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.