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Finding the Third Proportional to 90,282 and 139,723

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Solution

The third proportional to 90,282 and 139,723 is: 216,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,282 : 139,723 = 139,723 : x
  2. Step 2: Convert to fraction form
    90,282/139,723 = 139,723/x
  3. Step 3: Cross multiply
    90,282x = 139,723 × 139,723
  4. Step 4: Simplify right side
    90,282x = 19,522,516,729
  5. Step 5: Solve for x
    x = 19,522,516,729/90,282
  6. Step 6: Final answer
    x = 216,239.30

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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.