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Finding the Third Proportional to 108,126 and 162,027

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Solution

The third proportional to 108,126 and 162,027 is: 242,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,126 : 162,027 = 162,027 : x
  2. Step 2: Convert to fraction form
    108,126/162,027 = 162,027/x
  3. Step 3: Cross multiply
    108,126x = 162,027 × 162,027
  4. Step 4: Simplify right side
    108,126x = 26,252,748,729
  5. Step 5: Solve for x
    x = 26,252,748,729/108,126
  6. Step 6: Final answer
    x = 242,797.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.