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Finding the Third Proportional to 47,156 and 103,057

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Solution

The third proportional to 47,156 and 103,057 is: 225,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,156 : 103,057 = 103,057 : x
  2. Step 2: Convert to fraction form
    47,156/103,057 = 103,057/x
  3. Step 3: Cross multiply
    47,156x = 103,057 × 103,057
  4. Step 4: Simplify right side
    47,156x = 10,620,745,249
  5. Step 5: Solve for x
    x = 10,620,745,249/47,156
  6. Step 6: Final answer
    x = 225,225.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.