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Finding the Third Proportional to 63,994 and 132,077

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Solution

The third proportional to 63,994 and 132,077 is: 272,593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,994 : 132,077 = 132,077 : x
  2. Step 2: Convert to fraction form
    63,994/132,077 = 132,077/x
  3. Step 3: Cross multiply
    63,994x = 132,077 × 132,077
  4. Step 4: Simplify right side
    63,994x = 17,444,333,929
  5. Step 5: Solve for x
    x = 17,444,333,929/63,994
  6. Step 6: Final answer
    x = 272,593.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.