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Finding the Third Proportional to 89,993 and 139,707

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Solution

The third proportional to 89,993 and 139,707 is: 216,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,993 : 139,707 = 139,707 : x
  2. Step 2: Convert to fraction form
    89,993/139,707 = 139,707/x
  3. Step 3: Cross multiply
    89,993x = 139,707 × 139,707
  4. Step 4: Simplify right side
    89,993x = 19,518,045,849
  5. Step 5: Solve for x
    x = 19,518,045,849/89,993
  6. Step 6: Final answer
    x = 216,884.04

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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.