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Finding the Third Proportional to 47,535.50 and 103,282

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Solution

The third proportional to 47,535.50 and 103,282 is: 224,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,535.50 : 103,282 = 103,282 : x
  2. Step 2: Convert to fraction form
    47,535.50/103,282 = 103,282/x
  3. Step 3: Cross multiply
    47,535.50x = 103,282 × 103,282
  4. Step 4: Simplify right side
    47,535.50x = 10,667,171,524
  5. Step 5: Solve for x
    x = 10,667,171,524/47,535.50
  6. Step 6: Final answer
    x = 224,404.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.