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Finding the Third Proportional to 85,744 and 133,524

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Solution

The third proportional to 85,744 and 133,524 is: 207,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,744 : 133,524 = 133,524 : x
  2. Step 2: Convert to fraction form
    85,744/133,524 = 133,524/x
  3. Step 3: Cross multiply
    85,744x = 133,524 × 133,524
  4. Step 4: Simplify right side
    85,744x = 17,828,658,576
  5. Step 5: Solve for x
    x = 17,828,658,576/85,744
  6. Step 6: Final answer
    x = 207,928.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.