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Finding the Third Proportional to 81,230 and 125,533

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Solution

The third proportional to 81,230 and 125,533 is: 193,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,230 : 125,533 = 125,533 : x
  2. Step 2: Convert to fraction form
    81,230/125,533 = 125,533/x
  3. Step 3: Cross multiply
    81,230x = 125,533 × 125,533
  4. Step 4: Simplify right side
    81,230x = 15,758,534,089
  5. Step 5: Solve for x
    x = 15,758,534,089/81,230
  6. Step 6: Final answer
    x = 193,998.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.