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Finding the Third Proportional to 65,734.13 and 143,626.13

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Solution

The third proportional to 65,734.13 and 143,626.13 is: 313,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,734.13 : 143,626.13 = 143,626.13 : x
  2. Step 2: Convert to fraction form
    65,734.13/143,626.13 = 143,626.13/x
  3. Step 3: Cross multiply
    65,734.13x = 143,626.13 × 143,626.13
  4. Step 4: Simplify right side
    65,734.13x = 20,628,463,782.52
  5. Step 5: Solve for x
    x = 20,628,463,782.52/65,734.13
  6. Step 6: Final answer
    x = 313,816.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.