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Finding the Third Proportional to 64,652 and 135,160

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Solution

The third proportional to 64,652 and 135,160 is: 282,562.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,652 : 135,160 = 135,160 : x
  2. Step 2: Convert to fraction form
    64,652/135,160 = 135,160/x
  3. Step 3: Cross multiply
    64,652x = 135,160 × 135,160
  4. Step 4: Simplify right side
    64,652x = 18,268,225,600
  5. Step 5: Solve for x
    x = 18,268,225,600/64,652
  6. Step 6: Final answer
    x = 282,562.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.