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Finding the Third Proportional to 64,116 and 140,040

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Solution

The third proportional to 64,116 and 140,040 is: 305,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,116 : 140,040 = 140,040 : x
  2. Step 2: Convert to fraction form
    64,116/140,040 = 140,040/x
  3. Step 3: Cross multiply
    64,116x = 140,040 × 140,040
  4. Step 4: Simplify right side
    64,116x = 19,611,201,600
  5. Step 5: Solve for x
    x = 19,611,201,600/64,116
  6. Step 6: Final answer
    x = 305,870.63

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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.