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Finding the Third Proportional to 110,743.88 and 167,437.13

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Solution

The third proportional to 110,743.88 and 167,437.13 is: 253,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,743.88 : 167,437.13 = 167,437.13 : x
  2. Step 2: Convert to fraction form
    110,743.88/167,437.13 = 167,437.13/x
  3. Step 3: Cross multiply
    110,743.88x = 167,437.13 × 167,437.13
  4. Step 4: Simplify right side
    110,743.88x = 28,035,190,828.27
  5. Step 5: Solve for x
    x = 28,035,190,828.27/110,743.88
  6. Step 6: Final answer
    x = 253,153.42

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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.