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Finding the Third Proportional to 90,084 and 139,497

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Solution

The third proportional to 90,084 and 139,497 is: 216,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,084 : 139,497 = 139,497 : x
  2. Step 2: Convert to fraction form
    90,084/139,497 = 139,497/x
  3. Step 3: Cross multiply
    90,084x = 139,497 × 139,497
  4. Step 4: Simplify right side
    90,084x = 19,459,413,009
  5. Step 5: Solve for x
    x = 19,459,413,009/90,084
  6. Step 6: Final answer
    x = 216,014.09

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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.