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Finding the Third Proportional to 90,645.75 and 127,423.13

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Solution

The third proportional to 90,645.75 and 127,423.13 is: 179,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,645.75 : 127,423.13 = 127,423.13 : x
  2. Step 2: Convert to fraction form
    90,645.75/127,423.13 = 127,423.13/x
  3. Step 3: Cross multiply
    90,645.75x = 127,423.13 × 127,423.13
  4. Step 4: Simplify right side
    90,645.75x = 16,236,652,784.77
  5. Step 5: Solve for x
    x = 16,236,652,784.77/90,645.75
  6. Step 6: Final answer
    x = 179,122.05

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