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Finding the Third Proportional to 90,888 and 190,128

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Solution

The third proportional to 90,888 and 190,128 is: 397,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,888 : 190,128 = 190,128 : x
  2. Step 2: Convert to fraction form
    90,888/190,128 = 190,128/x
  3. Step 3: Cross multiply
    90,888x = 190,128 × 190,128
  4. Step 4: Simplify right side
    90,888x = 36,148,656,384
  5. Step 5: Solve for x
    x = 36,148,656,384/90,888
  6. Step 6: Final answer
    x = 397,727.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.