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Finding the Third Proportional to 61,994 and 133,827

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Solution

The third proportional to 61,994 and 133,827 is: 288,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,994 : 133,827 = 133,827 : x
  2. Step 2: Convert to fraction form
    61,994/133,827 = 133,827/x
  3. Step 3: Cross multiply
    61,994x = 133,827 × 133,827
  4. Step 4: Simplify right side
    61,994x = 17,909,665,929
  5. Step 5: Solve for x
    x = 17,909,665,929/61,994
  6. Step 6: Final answer
    x = 288,893.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.