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Finding the Third Proportional to 47,288 and 97,552

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Solution

The third proportional to 47,288 and 97,552 is: 201,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,288 : 97,552 = 97,552 : x
  2. Step 2: Convert to fraction form
    47,288/97,552 = 97,552/x
  3. Step 3: Cross multiply
    47,288x = 97,552 × 97,552
  4. Step 4: Simplify right side
    47,288x = 9,516,392,704
  5. Step 5: Solve for x
    x = 9,516,392,704/47,288
  6. Step 6: Final answer
    x = 201,243.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.