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Finding the Third Proportional to 113,534 and 171,873

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Solution

The third proportional to 113,534 and 171,873 is: 260,189.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,534 : 171,873 = 171,873 : x
  2. Step 2: Convert to fraction form
    113,534/171,873 = 171,873/x
  3. Step 3: Cross multiply
    113,534x = 171,873 × 171,873
  4. Step 4: Simplify right side
    113,534x = 29,540,328,129
  5. Step 5: Solve for x
    x = 29,540,328,129/113,534
  6. Step 6: Final answer
    x = 260,189.27

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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.