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Finding the Third Proportional to 57,570.75 and 122,785.88

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Solution

The third proportional to 57,570.75 and 122,785.88 is: 261,875.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,570.75 : 122,785.88 = 122,785.88 : x
  2. Step 2: Convert to fraction form
    57,570.75/122,785.88 = 122,785.88/x
  3. Step 3: Cross multiply
    57,570.75x = 122,785.88 × 122,785.88
  4. Step 4: Simplify right side
    57,570.75x = 15,076,371,099.52
  5. Step 5: Solve for x
    x = 15,076,371,099.52/57,570.75
  6. Step 6: Final answer
    x = 261,875.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.