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Finding the Third Proportional to 111,124.50 and 167,656.50

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Solution

The third proportional to 111,124.50 and 167,656.50 is: 252,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,124.50 : 167,656.50 = 167,656.50 : x
  2. Step 2: Convert to fraction form
    111,124.50/167,656.50 = 167,656.50/x
  3. Step 3: Cross multiply
    111,124.50x = 167,656.50 × 167,656.50
  4. Step 4: Simplify right side
    111,124.50x = 28,108,701,992.25
  5. Step 5: Solve for x
    x = 28,108,701,992.25/111,124.50
  6. Step 6: Final answer
    x = 252,947.84

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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.