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Finding the Third Proportional to 47,795 and 99,509

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Solution

The third proportional to 47,795 and 99,509 is: 207,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,795 : 99,509 = 99,509 : x
  2. Step 2: Convert to fraction form
    47,795/99,509 = 99,509/x
  3. Step 3: Cross multiply
    47,795x = 99,509 × 99,509
  4. Step 4: Simplify right side
    47,795x = 9,902,041,081
  5. Step 5: Solve for x
    x = 9,902,041,081/47,795
  6. Step 6: Final answer
    x = 207,177.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.