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Finding the Third Proportional to 45,082 and 97,940

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Solution

The third proportional to 45,082 and 97,940 is: 212,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,082 : 97,940 = 97,940 : x
  2. Step 2: Convert to fraction form
    45,082/97,940 = 97,940/x
  3. Step 3: Cross multiply
    45,082x = 97,940 × 97,940
  4. Step 4: Simplify right side
    45,082x = 9,592,243,600
  5. Step 5: Solve for x
    x = 9,592,243,600/45,082
  6. Step 6: Final answer
    x = 212,773.25

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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.