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Finding the Third Proportional to 100,919 and 156,262

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Solution

The third proportional to 100,919 and 156,262 is: 241,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,919 : 156,262 = 156,262 : x
  2. Step 2: Convert to fraction form
    100,919/156,262 = 156,262/x
  3. Step 3: Cross multiply
    100,919x = 156,262 × 156,262
  4. Step 4: Simplify right side
    100,919x = 24,417,812,644
  5. Step 5: Solve for x
    x = 24,417,812,644/100,919
  6. Step 6: Final answer
    x = 241,954.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.