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Finding the Third Proportional to 115,381.13 and 174,610.69

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Solution

The third proportional to 115,381.13 and 174,610.69 is: 264,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,381.13 : 174,610.69 = 174,610.69 : x
  2. Step 2: Convert to fraction form
    115,381.13/174,610.69 = 174,610.69/x
  3. Step 3: Cross multiply
    115,381.13x = 174,610.69 × 174,610.69
  4. Step 4: Simplify right side
    115,381.13x = 30,488,892,189.22
  5. Step 5: Solve for x
    x = 30,488,892,189.22/115,381.13
  6. Step 6: Final answer
    x = 264,245.06

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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.