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Finding the Third Proportional to 115,173.56 and 174,371.91

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Solution

The third proportional to 115,173.56 and 174,371.91 is: 263,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,173.56 : 174,371.91 = 174,371.91 : x
  2. Step 2: Convert to fraction form
    115,173.56/174,371.91 = 174,371.91/x
  3. Step 3: Cross multiply
    115,173.56x = 174,371.91 × 174,371.91
  4. Step 4: Simplify right side
    115,173.56x = 30,405,561,689.26
  5. Step 5: Solve for x
    x = 30,405,561,689.26/115,173.56
  6. Step 6: Final answer
    x = 263,997.75

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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.