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Finding the Third Proportional to 46,844 and 72,212

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Solution

The third proportional to 46,844 and 72,212 is: 111,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,844 : 72,212 = 72,212 : x
  2. Step 2: Convert to fraction form
    46,844/72,212 = 72,212/x
  3. Step 3: Cross multiply
    46,844x = 72,212 × 72,212
  4. Step 4: Simplify right side
    46,844x = 5,214,572,944
  5. Step 5: Solve for x
    x = 5,214,572,944/46,844
  6. Step 6: Final answer
    x = 111,317.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.