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Finding the Third Proportional to 90,082 and 139,493.50

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Solution

The third proportional to 90,082 and 139,493.50 is: 216,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,082 : 139,493.50 = 139,493.50 : x
  2. Step 2: Convert to fraction form
    90,082/139,493.50 = 139,493.50/x
  3. Step 3: Cross multiply
    90,082x = 139,493.50 × 139,493.50
  4. Step 4: Simplify right side
    90,082x = 19,458,436,542.25
  5. Step 5: Solve for x
    x = 19,458,436,542.25/90,082
  6. Step 6: Final answer
    x = 216,008.04

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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.