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Finding the Third Proportional to 115,401.75 and 174,693.75

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Solution

The third proportional to 115,401.75 and 174,693.75 is: 264,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,401.75 : 174,693.75 = 174,693.75 : x
  2. Step 2: Convert to fraction form
    115,401.75/174,693.75 = 174,693.75/x
  3. Step 3: Cross multiply
    115,401.75x = 174,693.75 × 174,693.75
  4. Step 4: Simplify right side
    115,401.75x = 30,517,906,289.06
  5. Step 5: Solve for x
    x = 30,517,906,289.06/115,401.75
  6. Step 6: Final answer
    x = 264,449.25

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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.