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Finding the Third Proportional to 67,032 and 139,576

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Solution

The third proportional to 67,032 and 139,576 is: 290,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,032 : 139,576 = 139,576 : x
  2. Step 2: Convert to fraction form
    67,032/139,576 = 139,576/x
  3. Step 3: Cross multiply
    67,032x = 139,576 × 139,576
  4. Step 4: Simplify right side
    67,032x = 19,481,459,776
  5. Step 5: Solve for x
    x = 19,481,459,776/67,032
  6. Step 6: Final answer
    x = 290,629.25

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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.