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Finding the Third Proportional to 57,905 and 91,764.75

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Solution

The third proportional to 57,905 and 91,764.75 is: 145,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,905 : 91,764.75 = 91,764.75 : x
  2. Step 2: Convert to fraction form
    57,905/91,764.75 = 91,764.75/x
  3. Step 3: Cross multiply
    57,905x = 91,764.75 × 91,764.75
  4. Step 4: Simplify right side
    57,905x = 8,420,769,342.56
  5. Step 5: Solve for x
    x = 8,420,769,342.56/57,905
  6. Step 6: Final answer
    x = 145,423.87

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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.