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Finding the Third Proportional to 52,503.75 and 84,222.56

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Solution

The third proportional to 52,503.75 and 84,222.56 is: 135,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.75 : 84,222.56 = 84,222.56 : x
  2. Step 2: Convert to fraction form
    52,503.75/84,222.56 = 84,222.56/x
  3. Step 3: Cross multiply
    52,503.75x = 84,222.56 × 84,222.56
  4. Step 4: Simplify right side
    52,503.75x = 7,093,440,034.07
  5. Step 5: Solve for x
    x = 7,093,440,034.07/52,503.75
  6. Step 6: Final answer
    x = 135,103.49

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.