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Finding the Third Proportional to 47,537 and 103,285

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Solution

The third proportional to 47,537 and 103,285 is: 224,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537 : 103,285 = 103,285 : x
  2. Step 2: Convert to fraction form
    47,537/103,285 = 103,285/x
  3. Step 3: Cross multiply
    47,537x = 103,285 × 103,285
  4. Step 4: Simplify right side
    47,537x = 10,667,791,225
  5. Step 5: Solve for x
    x = 10,667,791,225/47,537
  6. Step 6: Final answer
    x = 224,410.27

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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.