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Finding the Third Proportional to 55,094 and 80,049

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Solution

The third proportional to 55,094 and 80,049 is: 116,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,094 : 80,049 = 80,049 : x
  2. Step 2: Convert to fraction form
    55,094/80,049 = 80,049/x
  3. Step 3: Cross multiply
    55,094x = 80,049 × 80,049
  4. Step 4: Simplify right side
    55,094x = 6,407,842,401
  5. Step 5: Solve for x
    x = 6,407,842,401/55,094
  6. Step 6: Final answer
    x = 116,307.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.