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Finding the Third Proportional to 107,549.50 and 167,077

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Solution

The third proportional to 107,549.50 and 167,077 is: 259,552.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,549.50 : 167,077 = 167,077 : x
  2. Step 2: Convert to fraction form
    107,549.50/167,077 = 167,077/x
  3. Step 3: Cross multiply
    107,549.50x = 167,077 × 167,077
  4. Step 4: Simplify right side
    107,549.50x = 27,914,723,929
  5. Step 5: Solve for x
    x = 27,914,723,929/107,549.50
  6. Step 6: Final answer
    x = 259,552.34

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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.