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Finding the Third Proportional to 64,570 and 140,576

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Solution

The third proportional to 64,570 and 140,576 is: 306,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,570 : 140,576 = 140,576 : x
  2. Step 2: Convert to fraction form
    64,570/140,576 = 140,576/x
  3. Step 3: Cross multiply
    64,570x = 140,576 × 140,576
  4. Step 4: Simplify right side
    64,570x = 19,761,611,776
  5. Step 5: Solve for x
    x = 19,761,611,776/64,570
  6. Step 6: Final answer
    x = 306,049.43

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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.