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Finding the Third Proportional to 112,765.50 and 243,675

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Solution

The third proportional to 112,765.50 and 243,675 is: 526,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,765.50 : 243,675 = 243,675 : x
  2. Step 2: Convert to fraction form
    112,765.50/243,675 = 243,675/x
  3. Step 3: Cross multiply
    112,765.50x = 243,675 × 243,675
  4. Step 4: Simplify right side
    112,765.50x = 59,377,505,625
  5. Step 5: Solve for x
    x = 59,377,505,625/112,765.50
  6. Step 6: Final answer
    x = 526,557.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.