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Finding the Third Proportional to 47,078 and 73,395

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Solution

The third proportional to 47,078 and 73,395 is: 114,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,078 : 73,395 = 73,395 : x
  2. Step 2: Convert to fraction form
    47,078/73,395 = 73,395/x
  3. Step 3: Cross multiply
    47,078x = 73,395 × 73,395
  4. Step 4: Simplify right side
    47,078x = 5,386,826,025
  5. Step 5: Solve for x
    x = 5,386,826,025/47,078
  6. Step 6: Final answer
    x = 114,423.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.