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Finding the Third Proportional to 64,977.75 and 135,056.25

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Solution

The third proportional to 64,977.75 and 135,056.25 is: 280,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,977.75 : 135,056.25 = 135,056.25 : x
  2. Step 2: Convert to fraction form
    64,977.75/135,056.25 = 135,056.25/x
  3. Step 3: Cross multiply
    64,977.75x = 135,056.25 × 135,056.25
  4. Step 4: Simplify right side
    64,977.75x = 18,240,190,664.06
  5. Step 5: Solve for x
    x = 18,240,190,664.06/64,977.75
  6. Step 6: Final answer
    x = 280,714.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.