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Finding the Third Proportional to 110,908 and 156,210

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Solution

The third proportional to 110,908 and 156,210 is: 220,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,908 : 156,210 = 156,210 : x
  2. Step 2: Convert to fraction form
    110,908/156,210 = 156,210/x
  3. Step 3: Cross multiply
    110,908x = 156,210 × 156,210
  4. Step 4: Simplify right side
    110,908x = 24,401,564,100
  5. Step 5: Solve for x
    x = 24,401,564,100/110,908
  6. Step 6: Final answer
    x = 220,016.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.