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Finding the Third Proportional to 106,288 and 162,257

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Solution

The third proportional to 106,288 and 162,257 is: 247,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,288 : 162,257 = 162,257 : x
  2. Step 2: Convert to fraction form
    106,288/162,257 = 162,257/x
  3. Step 3: Cross multiply
    106,288x = 162,257 × 162,257
  4. Step 4: Simplify right side
    106,288x = 26,327,334,049
  5. Step 5: Solve for x
    x = 26,327,334,049/106,288
  6. Step 6: Final answer
    x = 247,698.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.