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Finding the Third Proportional to 65,558.50 and 143,753

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Solution

The third proportional to 65,558.50 and 143,753 is: 315,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,558.50 : 143,753 = 143,753 : x
  2. Step 2: Convert to fraction form
    65,558.50/143,753 = 143,753/x
  3. Step 3: Cross multiply
    65,558.50x = 143,753 × 143,753
  4. Step 4: Simplify right side
    65,558.50x = 20,664,925,009
  5. Step 5: Solve for x
    x = 20,664,925,009/65,558.50
  6. Step 6: Final answer
    x = 315,213.51

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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.