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Finding the Third Proportional to 110,748.94 and 171,811.13

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Solution

The third proportional to 110,748.94 and 171,811.13 is: 266,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,748.94 : 171,811.13 = 171,811.13 : x
  2. Step 2: Convert to fraction form
    110,748.94/171,811.13 = 171,811.13/x
  3. Step 3: Cross multiply
    110,748.94x = 171,811.13 × 171,811.13
  4. Step 4: Simplify right side
    110,748.94x = 29,519,062,673.77
  5. Step 5: Solve for x
    x = 29,519,062,673.77/110,748.94
  6. Step 6: Final answer
    x = 266,540.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.