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Finding the Third Proportional to 111,562 and 156,399

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Solution

The third proportional to 111,562 and 156,399 is: 219,256.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,562 : 156,399 = 156,399 : x
  2. Step 2: Convert to fraction form
    111,562/156,399 = 156,399/x
  3. Step 3: Cross multiply
    111,562x = 156,399 × 156,399
  4. Step 4: Simplify right side
    111,562x = 24,460,647,201
  5. Step 5: Solve for x
    x = 24,460,647,201/111,562
  6. Step 6: Final answer
    x = 219,256.08

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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.