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Finding the Third Proportional to 110,716.50 and 171,904.50

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Solution

The third proportional to 110,716.50 and 171,904.50 is: 266,908.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,716.50 : 171,904.50 = 171,904.50 : x
  2. Step 2: Convert to fraction form
    110,716.50/171,904.50 = 171,904.50/x
  3. Step 3: Cross multiply
    110,716.50x = 171,904.50 × 171,904.50
  4. Step 4: Simplify right side
    110,716.50x = 29,551,157,120.25
  5. Step 5: Solve for x
    x = 29,551,157,120.25/110,716.50
  6. Step 6: Final answer
    x = 266,908.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.