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Finding the Third Proportional to 106,166 and 162,934

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Solution

The third proportional to 106,166 and 162,934 is: 250,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,166 : 162,934 = 162,934 : x
  2. Step 2: Convert to fraction form
    106,166/162,934 = 162,934/x
  3. Step 3: Cross multiply
    106,166x = 162,934 × 162,934
  4. Step 4: Simplify right side
    106,166x = 26,547,488,356
  5. Step 5: Solve for x
    x = 26,547,488,356/106,166
  6. Step 6: Final answer
    x = 250,056.41

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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.