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Finding the Third Proportional to 64,232 and 140,120

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Solution

The third proportional to 64,232 and 140,120 is: 305,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,232 : 140,120 = 140,120 : x
  2. Step 2: Convert to fraction form
    64,232/140,120 = 140,120/x
  3. Step 3: Cross multiply
    64,232x = 140,120 × 140,120
  4. Step 4: Simplify right side
    64,232x = 19,633,614,400
  5. Step 5: Solve for x
    x = 19,633,614,400/64,232
  6. Step 6: Final answer
    x = 305,667.18

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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.