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Finding the Third Proportional to 47,339 and 102,778

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Solution

The third proportional to 47,339 and 102,778 is: 223,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,339 : 102,778 = 102,778 : x
  2. Step 2: Convert to fraction form
    47,339/102,778 = 102,778/x
  3. Step 3: Cross multiply
    47,339x = 102,778 × 102,778
  4. Step 4: Simplify right side
    47,339x = 10,563,317,284
  5. Step 5: Solve for x
    x = 10,563,317,284/47,339
  6. Step 6: Final answer
    x = 223,141.96

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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.