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Finding the Third Proportional to 57,375.84 and 124,285.50

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Solution

The third proportional to 57,375.84 and 124,285.50 is: 269,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,375.84 : 124,285.50 = 124,285.50 : x
  2. Step 2: Convert to fraction form
    57,375.84/124,285.50 = 124,285.50/x
  3. Step 3: Cross multiply
    57,375.84x = 124,285.50 × 124,285.50
  4. Step 4: Simplify right side
    57,375.84x = 15,446,885,510.25
  5. Step 5: Solve for x
    x = 15,446,885,510.25/57,375.84
  6. Step 6: Final answer
    x = 269,222.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.