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Finding the Third Proportional to 106,286 and 162,254

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Solution

The third proportional to 106,286 and 162,254 is: 247,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,286 : 162,254 = 162,254 : x
  2. Step 2: Convert to fraction form
    106,286/162,254 = 162,254/x
  3. Step 3: Cross multiply
    106,286x = 162,254 × 162,254
  4. Step 4: Simplify right side
    106,286x = 26,326,360,516
  5. Step 5: Solve for x
    x = 26,326,360,516/106,286
  6. Step 6: Final answer
    x = 247,693.59

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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.