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Finding the Third Proportional to 65,920 and 144,944

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Solution

The third proportional to 65,920 and 144,944 is: 318,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,920 : 144,944 = 144,944 : x
  2. Step 2: Convert to fraction form
    65,920/144,944 = 144,944/x
  3. Step 3: Cross multiply
    65,920x = 144,944 × 144,944
  4. Step 4: Simplify right side
    65,920x = 21,008,763,136
  5. Step 5: Solve for x
    x = 21,008,763,136/65,920
  6. Step 6: Final answer
    x = 318,700.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.