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Finding the Third Proportional to 42,961 and 93,302

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Solution

The third proportional to 42,961 and 93,302 is: 202,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,961 : 93,302 = 93,302 : x
  2. Step 2: Convert to fraction form
    42,961/93,302 = 93,302/x
  3. Step 3: Cross multiply
    42,961x = 93,302 × 93,302
  4. Step 4: Simplify right side
    42,961x = 8,705,263,204
  5. Step 5: Solve for x
    x = 8,705,263,204/42,961
  6. Step 6: Final answer
    x = 202,631.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.