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Finding the Third Proportional to 110,410 and 156,079

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Solution

The third proportional to 110,410 and 156,079 is: 220,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,410 : 156,079 = 156,079 : x
  2. Step 2: Convert to fraction form
    110,410/156,079 = 156,079/x
  3. Step 3: Cross multiply
    110,410x = 156,079 × 156,079
  4. Step 4: Simplify right side
    110,410x = 24,360,654,241
  5. Step 5: Solve for x
    x = 24,360,654,241/110,410
  6. Step 6: Final answer
    x = 220,638.11

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Why These Related Problems?

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