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Finding the Third Proportional to 115,014.75 and 174,591.75

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Solution

The third proportional to 115,014.75 and 174,591.75 is: 265,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,014.75 : 174,591.75 = 174,591.75 : x
  2. Step 2: Convert to fraction form
    115,014.75/174,591.75 = 174,591.75/x
  3. Step 3: Cross multiply
    115,014.75x = 174,591.75 × 174,591.75
  4. Step 4: Simplify right side
    115,014.75x = 30,482,279,168.06
  5. Step 5: Solve for x
    x = 30,482,279,168.06/115,014.75
  6. Step 6: Final answer
    x = 265,029.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.