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Finding the Third Proportional to 111,582 and 156,426

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Solution

The third proportional to 111,582 and 156,426 is: 219,292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,582 : 156,426 = 156,426 : x
  2. Step 2: Convert to fraction form
    111,582/156,426 = 156,426/x
  3. Step 3: Cross multiply
    111,582x = 156,426 × 156,426
  4. Step 4: Simplify right side
    111,582x = 24,469,093,476
  5. Step 5: Solve for x
    x = 24,469,093,476/111,582
  6. Step 6: Final answer
    x = 219,292.48

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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.