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Finding the Third Proportional to 57,901.50 and 84,213.56

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Solution

The third proportional to 57,901.50 and 84,213.56 is: 122,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,901.50 : 84,213.56 = 84,213.56 : x
  2. Step 2: Convert to fraction form
    57,901.50/84,213.56 = 84,213.56/x
  3. Step 3: Cross multiply
    57,901.50x = 84,213.56 × 84,213.56
  4. Step 4: Simplify right side
    57,901.50x = 7,091,924,108.94
  5. Step 5: Solve for x
    x = 7,091,924,108.94/57,901.50
  6. Step 6: Final answer
    x = 122,482.56

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.