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Finding the Third Proportional to 90,726 and 195,276

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Solution

The third proportional to 90,726 and 195,276 is: 420,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,726 : 195,276 = 195,276 : x
  2. Step 2: Convert to fraction form
    90,726/195,276 = 195,276/x
  3. Step 3: Cross multiply
    90,726x = 195,276 × 195,276
  4. Step 4: Simplify right side
    90,726x = 38,132,716,176
  5. Step 5: Solve for x
    x = 38,132,716,176/90,726
  6. Step 6: Final answer
    x = 420,306.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.