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Finding the Third Proportional to 65,988 and 139,401

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Solution

The third proportional to 65,988 and 139,401 is: 294,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,988 : 139,401 = 139,401 : x
  2. Step 2: Convert to fraction form
    65,988/139,401 = 139,401/x
  3. Step 3: Cross multiply
    65,988x = 139,401 × 139,401
  4. Step 4: Simplify right side
    65,988x = 19,432,638,801
  5. Step 5: Solve for x
    x = 19,432,638,801/65,988
  6. Step 6: Final answer
    x = 294,487.46

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.