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Finding the Third Proportional to 42,672 and 92,868

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Solution

The third proportional to 42,672 and 92,868 is: 202,110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,672 : 92,868 = 92,868 : x
  2. Step 2: Convert to fraction form
    42,672/92,868 = 92,868/x
  3. Step 3: Cross multiply
    42,672x = 92,868 × 92,868
  4. Step 4: Simplify right side
    42,672x = 8,624,465,424
  5. Step 5: Solve for x
    x = 8,624,465,424/42,672
  6. Step 6: Final answer
    x = 202,110.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.