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Finding the Third Proportional to 113,415.75 and 171,034.31

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Solution

The third proportional to 113,415.75 and 171,034.31 is: 257,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,415.75 : 171,034.31 = 171,034.31 : x
  2. Step 2: Convert to fraction form
    113,415.75/171,034.31 = 171,034.31/x
  3. Step 3: Cross multiply
    113,415.75x = 171,034.31 × 171,034.31
  4. Step 4: Simplify right side
    113,415.75x = 29,252,736,052.35
  5. Step 5: Solve for x
    x = 29,252,736,052.35/113,415.75
  6. Step 6: Final answer
    x = 257,924.81

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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.