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Finding the Third Proportional to 111,005.50 and 167,507

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Solution

The third proportional to 111,005.50 and 167,507 is: 252,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,005.50 : 167,507 = 167,507 : x
  2. Step 2: Convert to fraction form
    111,005.50/167,507 = 167,507/x
  3. Step 3: Cross multiply
    111,005.50x = 167,507 × 167,507
  4. Step 4: Simplify right side
    111,005.50x = 28,058,595,049
  5. Step 5: Solve for x
    x = 28,058,595,049/111,005.50
  6. Step 6: Final answer
    x = 252,767.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.