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Finding the Third Proportional to 45,015 and 97,665

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Solution

The third proportional to 45,015 and 97,665 is: 211,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,015 : 97,665 = 97,665 : x
  2. Step 2: Convert to fraction form
    45,015/97,665 = 97,665/x
  3. Step 3: Cross multiply
    45,015x = 97,665 × 97,665
  4. Step 4: Simplify right side
    45,015x = 9,538,452,225
  5. Step 5: Solve for x
    x = 9,538,452,225/45,015
  6. Step 6: Final answer
    x = 211,894.97

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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.