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Finding the Third Proportional to 47,320 and 102,956

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Solution

The third proportional to 47,320 and 102,956 is: 224,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,320 : 102,956 = 102,956 : x
  2. Step 2: Convert to fraction form
    47,320/102,956 = 102,956/x
  3. Step 3: Cross multiply
    47,320x = 102,956 × 102,956
  4. Step 4: Simplify right side
    47,320x = 10,599,937,936
  5. Step 5: Solve for x
    x = 10,599,937,936/47,320
  6. Step 6: Final answer
    x = 224,005.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.