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Finding the Third Proportional to 64,990 and 139,651

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Solution

The third proportional to 64,990 and 139,651 is: 300,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,990 : 139,651 = 139,651 : x
  2. Step 2: Convert to fraction form
    64,990/139,651 = 139,651/x
  3. Step 3: Cross multiply
    64,990x = 139,651 × 139,651
  4. Step 4: Simplify right side
    64,990x = 19,502,401,801
  5. Step 5: Solve for x
    x = 19,502,401,801/64,990
  6. Step 6: Final answer
    x = 300,083.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.