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Finding the Third Proportional to 115,971.75 and 173,684.25

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Solution

The third proportional to 115,971.75 and 173,684.25 is: 260,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,971.75 : 173,684.25 = 173,684.25 : x
  2. Step 2: Convert to fraction form
    115,971.75/173,684.25 = 173,684.25/x
  3. Step 3: Cross multiply
    115,971.75x = 173,684.25 × 173,684.25
  4. Step 4: Simplify right side
    115,971.75x = 30,166,218,698.06
  5. Step 5: Solve for x
    x = 30,166,218,698.06/115,971.75
  6. Step 6: Final answer
    x = 260,116.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.