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Finding the Third Proportional to 29,056 and 68,614

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Solution

The third proportional to 29,056 and 68,614 is: 162,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,056 : 68,614 = 68,614 : x
  2. Step 2: Convert to fraction form
    29,056/68,614 = 68,614/x
  3. Step 3: Cross multiply
    29,056x = 68,614 × 68,614
  4. Step 4: Simplify right side
    29,056x = 4,707,880,996
  5. Step 5: Solve for x
    x = 4,707,880,996/29,056
  6. Step 6: Final answer
    x = 162,027.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.