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Finding the Third Proportional to 46,012 and 94,964

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Solution

The third proportional to 46,012 and 94,964 is: 195,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,012 : 94,964 = 94,964 : x
  2. Step 2: Convert to fraction form
    46,012/94,964 = 94,964/x
  3. Step 3: Cross multiply
    46,012x = 94,964 × 94,964
  4. Step 4: Simplify right side
    46,012x = 9,018,161,296
  5. Step 5: Solve for x
    x = 9,018,161,296/46,012
  6. Step 6: Final answer
    x = 195,995.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.