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Finding the Third Proportional to 90,086 and 139,500

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Solution

The third proportional to 90,086 and 139,500 is: 216,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,086 : 139,500 = 139,500 : x
  2. Step 2: Convert to fraction form
    90,086/139,500 = 139,500/x
  3. Step 3: Cross multiply
    90,086x = 139,500 × 139,500
  4. Step 4: Simplify right side
    90,086x = 19,460,250,000
  5. Step 5: Solve for x
    x = 19,460,250,000/90,086
  6. Step 6: Final answer
    x = 216,018.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.