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Finding the Third Proportional to 113,647 and 170,471

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Solution

The third proportional to 113,647 and 170,471 is: 255,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,647 : 170,471 = 170,471 : x
  2. Step 2: Convert to fraction form
    113,647/170,471 = 170,471/x
  3. Step 3: Cross multiply
    113,647x = 170,471 × 170,471
  4. Step 4: Simplify right side
    113,647x = 29,060,361,841
  5. Step 5: Solve for x
    x = 29,060,361,841/113,647
  6. Step 6: Final answer
    x = 255,707.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.