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Finding the Third Proportional to 65,612.25 and 98,400.75

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Solution

The third proportional to 65,612.25 and 98,400.75 is: 147,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,612.25 : 98,400.75 = 98,400.75 : x
  2. Step 2: Convert to fraction form
    65,612.25/98,400.75 = 98,400.75/x
  3. Step 3: Cross multiply
    65,612.25x = 98,400.75 × 98,400.75
  4. Step 4: Simplify right side
    65,612.25x = 9,682,707,600.56
  5. Step 5: Solve for x
    x = 9,682,707,600.56/65,612.25
  6. Step 6: Final answer
    x = 147,574.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.