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Finding the Third Proportional to 112,773 and 167,944.50

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Solution

The third proportional to 112,773 and 167,944.50 is: 250,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,773 : 167,944.50 = 167,944.50 : x
  2. Step 2: Convert to fraction form
    112,773/167,944.50 = 167,944.50/x
  3. Step 3: Cross multiply
    112,773x = 167,944.50 × 167,944.50
  4. Step 4: Simplify right side
    112,773x = 28,205,355,080.25
  5. Step 5: Solve for x
    x = 28,205,355,080.25/112,773
  6. Step 6: Final answer
    x = 250,107.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.