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Finding the Third Proportional to 34,731 and 75,996

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Solution

The third proportional to 34,731 and 75,996 is: 166,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,731 : 75,996 = 75,996 : x
  2. Step 2: Convert to fraction form
    34,731/75,996 = 75,996/x
  3. Step 3: Cross multiply
    34,731x = 75,996 × 75,996
  4. Step 4: Simplify right side
    34,731x = 5,775,392,016
  5. Step 5: Solve for x
    x = 5,775,392,016/34,731
  6. Step 6: Final answer
    x = 166,289.25

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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.