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Finding the Third Proportional to 111,572 and 156,412

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Solution

The third proportional to 111,572 and 156,412 is: 219,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,572 : 156,412 = 156,412 : x
  2. Step 2: Convert to fraction form
    111,572/156,412 = 156,412/x
  3. Step 3: Cross multiply
    111,572x = 156,412 × 156,412
  4. Step 4: Simplify right side
    111,572x = 24,464,713,744
  5. Step 5: Solve for x
    x = 24,464,713,744/111,572
  6. Step 6: Final answer
    x = 219,272.88

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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.