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Finding the Third Proportional to 108,462 and 162,114

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Solution

The third proportional to 108,462 and 162,114 is: 242,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,462 : 162,114 = 162,114 : x
  2. Step 2: Convert to fraction form
    108,462/162,114 = 162,114/x
  3. Step 3: Cross multiply
    108,462x = 162,114 × 162,114
  4. Step 4: Simplify right side
    108,462x = 26,280,948,996
  5. Step 5: Solve for x
    x = 26,280,948,996/108,462
  6. Step 6: Final answer
    x = 242,305.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.