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Finding the Third Proportional to 55,049 and 84,350

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Solution

The third proportional to 55,049 and 84,350 is: 129,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,049 : 84,350 = 84,350 : x
  2. Step 2: Convert to fraction form
    55,049/84,350 = 84,350/x
  3. Step 3: Cross multiply
    55,049x = 84,350 × 84,350
  4. Step 4: Simplify right side
    55,049x = 7,114,922,500
  5. Step 5: Solve for x
    x = 7,114,922,500/55,049
  6. Step 6: Final answer
    x = 129,247.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.