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Finding the Third Proportional to 65,604 and 139,800

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Solution

The third proportional to 65,604 and 139,800 is: 297,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,604 : 139,800 = 139,800 : x
  2. Step 2: Convert to fraction form
    65,604/139,800 = 139,800/x
  3. Step 3: Cross multiply
    65,604x = 139,800 × 139,800
  4. Step 4: Simplify right side
    65,604x = 19,544,040,000
  5. Step 5: Solve for x
    x = 19,544,040,000/65,604
  6. Step 6: Final answer
    x = 297,909.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.