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Finding the Third Proportional to 111,628 and 156,140

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Solution

The third proportional to 111,628 and 156,140 is: 218,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,628 : 156,140 = 156,140 : x
  2. Step 2: Convert to fraction form
    111,628/156,140 = 156,140/x
  3. Step 3: Cross multiply
    111,628x = 156,140 × 156,140
  4. Step 4: Simplify right side
    111,628x = 24,379,699,600
  5. Step 5: Solve for x
    x = 24,379,699,600/111,628
  6. Step 6: Final answer
    x = 218,401.29

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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.