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Finding the Third Proportional to 90,242 and 132,747

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Solution

The third proportional to 90,242 and 132,747 is: 195,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,242 : 132,747 = 132,747 : x
  2. Step 2: Convert to fraction form
    90,242/132,747 = 132,747/x
  3. Step 3: Cross multiply
    90,242x = 132,747 × 132,747
  4. Step 4: Simplify right side
    90,242x = 17,621,766,009
  5. Step 5: Solve for x
    x = 17,621,766,009/90,242
  6. Step 6: Final answer
    x = 195,272.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.