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Finding the Third Proportional to 90,698 and 143,002

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Solution

The third proportional to 90,698 and 143,002 is: 225,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,698 : 143,002 = 143,002 : x
  2. Step 2: Convert to fraction form
    90,698/143,002 = 143,002/x
  3. Step 3: Cross multiply
    90,698x = 143,002 × 143,002
  4. Step 4: Simplify right side
    90,698x = 20,449,572,004
  5. Step 5: Solve for x
    x = 20,449,572,004/90,698
  6. Step 6: Final answer
    x = 225,468.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.