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Finding the Third Proportional to 57,687.50 and 84,263

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Solution

The third proportional to 57,687.50 and 84,263 is: 123,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,687.50 : 84,263 = 84,263 : x
  2. Step 2: Convert to fraction form
    57,687.50/84,263 = 84,263/x
  3. Step 3: Cross multiply
    57,687.50x = 84,263 × 84,263
  4. Step 4: Simplify right side
    57,687.50x = 7,100,253,169
  5. Step 5: Solve for x
    x = 7,100,253,169/57,687.50
  6. Step 6: Final answer
    x = 123,081.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.