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Finding the Third Proportional to 57,840.75 and 91,661.63

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Solution

The third proportional to 57,840.75 and 91,661.63 is: 145,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,840.75 : 91,661.63 = 91,661.63 : x
  2. Step 2: Convert to fraction form
    57,840.75/91,661.63 = 91,661.63/x
  3. Step 3: Cross multiply
    57,840.75x = 91,661.63 × 91,661.63
  4. Step 4: Simplify right side
    57,840.75x = 8,401,853,497.64
  5. Step 5: Solve for x
    x = 8,401,853,497.64/57,840.75
  6. Step 6: Final answer
    x = 145,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.