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Finding the Third Proportional to 42,086.25 and 90,009.75

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Solution

The third proportional to 42,086.25 and 90,009.75 is: 192,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,086.25 : 90,009.75 = 90,009.75 : x
  2. Step 2: Convert to fraction form
    42,086.25/90,009.75 = 90,009.75/x
  3. Step 3: Cross multiply
    42,086.25x = 90,009.75 × 90,009.75
  4. Step 4: Simplify right side
    42,086.25x = 8,101,755,095.06
  5. Step 5: Solve for x
    x = 8,101,755,095.06/42,086.25
  6. Step 6: Final answer
    x = 192,503.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.