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Finding the Third Proportional to 57,232 and 119,692

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Solution

The third proportional to 57,232 and 119,692 is: 250,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,232 : 119,692 = 119,692 : x
  2. Step 2: Convert to fraction form
    57,232/119,692 = 119,692/x
  3. Step 3: Cross multiply
    57,232x = 119,692 × 119,692
  4. Step 4: Simplify right side
    57,232x = 14,326,174,864
  5. Step 5: Solve for x
    x = 14,326,174,864/57,232
  6. Step 6: Final answer
    x = 250,317.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.