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Finding the Third Proportional to 55,167 and 77,997

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Solution

The third proportional to 55,167 and 77,997 is: 110,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,167 : 77,997 = 77,997 : x
  2. Step 2: Convert to fraction form
    55,167/77,997 = 77,997/x
  3. Step 3: Cross multiply
    55,167x = 77,997 × 77,997
  4. Step 4: Simplify right side
    55,167x = 6,083,532,009
  5. Step 5: Solve for x
    x = 6,083,532,009/55,167
  6. Step 6: Final answer
    x = 110,274.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.