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Finding the Third Proportional to 57,230 and 122,692

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Solution

The third proportional to 57,230 and 122,692 is: 263,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,230 : 122,692 = 122,692 : x
  2. Step 2: Convert to fraction form
    57,230/122,692 = 122,692/x
  3. Step 3: Cross multiply
    57,230x = 122,692 × 122,692
  4. Step 4: Simplify right side
    57,230x = 15,053,326,864
  5. Step 5: Solve for x
    x = 15,053,326,864/57,230
  6. Step 6: Final answer
    x = 263,032.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.