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Finding the Third Proportional to 46,091 and 68,844

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Solution

The third proportional to 46,091 and 68,844 is: 102,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,091 : 68,844 = 68,844 : x
  2. Step 2: Convert to fraction form
    46,091/68,844 = 68,844/x
  3. Step 3: Cross multiply
    46,091x = 68,844 × 68,844
  4. Step 4: Simplify right side
    46,091x = 4,739,496,336
  5. Step 5: Solve for x
    x = 4,739,496,336/46,091
  6. Step 6: Final answer
    x = 102,829.11

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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.