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Finding the Third Proportional to 61,826 and 135,212

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Solution

The third proportional to 61,826 and 135,212 is: 295,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,826 : 135,212 = 135,212 : x
  2. Step 2: Convert to fraction form
    61,826/135,212 = 135,212/x
  3. Step 3: Cross multiply
    61,826x = 135,212 × 135,212
  4. Step 4: Simplify right side
    61,826x = 18,282,284,944
  5. Step 5: Solve for x
    x = 18,282,284,944/61,826
  6. Step 6: Final answer
    x = 295,705.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.