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Finding the Third Proportional to 111,731.25 and 156,290.63

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Solution

The third proportional to 111,731.25 and 156,290.63 is: 218,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,731.25 : 156,290.63 = 156,290.63 : x
  2. Step 2: Convert to fraction form
    111,731.25/156,290.63 = 156,290.63/x
  3. Step 3: Cross multiply
    111,731.25x = 156,290.63 × 156,290.63
  4. Step 4: Simplify right side
    111,731.25x = 24,426,759,462.89
  5. Step 5: Solve for x
    x = 24,426,759,462.89/111,731.25
  6. Step 6: Final answer
    x = 218,620.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.