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Finding the Third Proportional to 64,410.75 and 98,531.25

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Solution

The third proportional to 64,410.75 and 98,531.25 is: 150,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,410.75 : 98,531.25 = 98,531.25 : x
  2. Step 2: Convert to fraction form
    64,410.75/98,531.25 = 98,531.25/x
  3. Step 3: Cross multiply
    64,410.75x = 98,531.25 × 98,531.25
  4. Step 4: Simplify right side
    64,410.75x = 9,708,407,226.56
  5. Step 5: Solve for x
    x = 9,708,407,226.56/64,410.75
  6. Step 6: Final answer
    x = 150,726.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.