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Finding the Third Proportional to 90,322 and 127,081

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Solution

The third proportional to 90,322 and 127,081 is: 178,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,322 : 127,081 = 127,081 : x
  2. Step 2: Convert to fraction form
    90,322/127,081 = 127,081/x
  3. Step 3: Cross multiply
    90,322x = 127,081 × 127,081
  4. Step 4: Simplify right side
    90,322x = 16,149,580,561
  5. Step 5: Solve for x
    x = 16,149,580,561/90,322
  6. Step 6: Final answer
    x = 178,800.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.