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Finding the Third Proportional to 71,047.13 and 109,194.75

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Solution

The third proportional to 71,047.13 and 109,194.75 is: 167,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047.13 : 109,194.75 = 109,194.75 : x
  2. Step 2: Convert to fraction form
    71,047.13/109,194.75 = 109,194.75/x
  3. Step 3: Cross multiply
    71,047.13x = 109,194.75 × 109,194.75
  4. Step 4: Simplify right side
    71,047.13x = 11,923,493,427.56
  5. Step 5: Solve for x
    x = 11,923,493,427.56/71,047.13
  6. Step 6: Final answer
    x = 167,825.14

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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.