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Finding the Third Proportional to 45,081 and 97,938

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Solution

The third proportional to 45,081 and 97,938 is: 212,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,081 : 97,938 = 97,938 : x
  2. Step 2: Convert to fraction form
    45,081/97,938 = 97,938/x
  3. Step 3: Cross multiply
    45,081x = 97,938 × 97,938
  4. Step 4: Simplify right side
    45,081x = 9,591,851,844
  5. Step 5: Solve for x
    x = 9,591,851,844/45,081
  6. Step 6: Final answer
    x = 212,769.28

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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.