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Finding the Third Proportional to 46,012 and 68,612

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Solution

The third proportional to 46,012 and 68,612 is: 102,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,012 : 68,612 = 68,612 : x
  2. Step 2: Convert to fraction form
    46,012/68,612 = 68,612/x
  3. Step 3: Cross multiply
    46,012x = 68,612 × 68,612
  4. Step 4: Simplify right side
    46,012x = 4,707,606,544
  5. Step 5: Solve for x
    x = 4,707,606,544/46,012
  6. Step 6: Final answer
    x = 102,312.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.