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Finding the Third Proportional to 113,032 and 171,006

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Solution

The third proportional to 113,032 and 171,006 is: 258,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,032 : 171,006 = 171,006 : x
  2. Step 2: Convert to fraction form
    113,032/171,006 = 171,006/x
  3. Step 3: Cross multiply
    113,032x = 171,006 × 171,006
  4. Step 4: Simplify right side
    113,032x = 29,243,052,036
  5. Step 5: Solve for x
    x = 29,243,052,036/113,032
  6. Step 6: Final answer
    x = 258,714.81

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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.