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Finding the Third Proportional to 89,796 and 139,422

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Solution

The third proportional to 89,796 and 139,422 is: 216,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,796 : 139,422 = 139,422 : x
  2. Step 2: Convert to fraction form
    89,796/139,422 = 139,422/x
  3. Step 3: Cross multiply
    89,796x = 139,422 × 139,422
  4. Step 4: Simplify right side
    89,796x = 19,438,494,084
  5. Step 5: Solve for x
    x = 19,438,494,084/89,796
  6. Step 6: Final answer
    x = 216,473.94

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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.