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Finding the Third Proportional to 47,657 and 101,767

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Solution

The third proportional to 47,657 and 101,767 is: 217,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,657 : 101,767 = 101,767 : x
  2. Step 2: Convert to fraction form
    47,657/101,767 = 101,767/x
  3. Step 3: Cross multiply
    47,657x = 101,767 × 101,767
  4. Step 4: Simplify right side
    47,657x = 10,356,522,289
  5. Step 5: Solve for x
    x = 10,356,522,289/47,657
  6. Step 6: Final answer
    x = 217,313.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.