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Finding the Third Proportional to 46,079 and 94,102

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Solution

The third proportional to 46,079 and 94,102 is: 192,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,079 : 94,102 = 94,102 : x
  2. Step 2: Convert to fraction form
    46,079/94,102 = 94,102/x
  3. Step 3: Cross multiply
    46,079x = 94,102 × 94,102
  4. Step 4: Simplify right side
    46,079x = 8,855,186,404
  5. Step 5: Solve for x
    x = 8,855,186,404/46,079
  6. Step 6: Final answer
    x = 192,174.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.