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Finding the Third Proportional to 110,810.25 and 167,535

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Solution

The third proportional to 110,810.25 and 167,535 is: 253,297.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,810.25 : 167,535 = 167,535 : x
  2. Step 2: Convert to fraction form
    110,810.25/167,535 = 167,535/x
  3. Step 3: Cross multiply
    110,810.25x = 167,535 × 167,535
  4. Step 4: Simplify right side
    110,810.25x = 28,067,976,225
  5. Step 5: Solve for x
    x = 28,067,976,225/110,810.25
  6. Step 6: Final answer
    x = 253,297.65

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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.