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Finding the Third Proportional to 29,070 and 67,977

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Solution

The third proportional to 29,070 and 67,977 is: 158,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,070 : 67,977 = 67,977 : x
  2. Step 2: Convert to fraction form
    29,070/67,977 = 67,977/x
  3. Step 3: Cross multiply
    29,070x = 67,977 × 67,977
  4. Step 4: Simplify right side
    29,070x = 4,620,872,529
  5. Step 5: Solve for x
    x = 4,620,872,529/29,070
  6. Step 6: Final answer
    x = 158,956.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.