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Finding the Third Proportional to 29,052 and 68,604

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Solution

The third proportional to 29,052 and 68,604 is: 162,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,052 : 68,604 = 68,604 : x
  2. Step 2: Convert to fraction form
    29,052/68,604 = 68,604/x
  3. Step 3: Cross multiply
    29,052x = 68,604 × 68,604
  4. Step 4: Simplify right side
    29,052x = 4,706,508,816
  5. Step 5: Solve for x
    x = 4,706,508,816/29,052
  6. Step 6: Final answer
    x = 162,002.92

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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.