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Finding the Third Proportional to 65,560 and 143,756

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Solution

The third proportional to 65,560 and 143,756 is: 315,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,560 : 143,756 = 143,756 : x
  2. Step 2: Convert to fraction form
    65,560/143,756 = 143,756/x
  3. Step 3: Cross multiply
    65,560x = 143,756 × 143,756
  4. Step 4: Simplify right side
    65,560x = 20,665,787,536
  5. Step 5: Solve for x
    x = 20,665,787,536/65,560
  6. Step 6: Final answer
    x = 315,219.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.