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Finding the Third Proportional to 110,614 and 170,118

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Solution

The third proportional to 110,614 and 170,118 is: 261,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,614 : 170,118 = 170,118 : x
  2. Step 2: Convert to fraction form
    110,614/170,118 = 170,118/x
  3. Step 3: Cross multiply
    110,614x = 170,118 × 170,118
  4. Step 4: Simplify right side
    110,614x = 28,940,133,924
  5. Step 5: Solve for x
    x = 28,940,133,924/110,614
  6. Step 6: Final answer
    x = 261,631.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.