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Finding the Third Proportional to 111,630 and 156,143

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Solution

The third proportional to 111,630 and 156,143 is: 218,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,630 : 156,143 = 156,143 : x
  2. Step 2: Convert to fraction form
    111,630/156,143 = 156,143/x
  3. Step 3: Cross multiply
    111,630x = 156,143 × 156,143
  4. Step 4: Simplify right side
    111,630x = 24,380,636,449
  5. Step 5: Solve for x
    x = 24,380,636,449/111,630
  6. Step 6: Final answer
    x = 218,405.77

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.