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Finding the Third Proportional to 113,027 and 170,996

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Solution

The third proportional to 113,027 and 170,996 is: 258,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,027 : 170,996 = 170,996 : x
  2. Step 2: Convert to fraction form
    113,027/170,996 = 170,996/x
  3. Step 3: Cross multiply
    113,027x = 170,996 × 170,996
  4. Step 4: Simplify right side
    113,027x = 29,239,632,016
  5. Step 5: Solve for x
    x = 29,239,632,016/113,027
  6. Step 6: Final answer
    x = 258,695.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.