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Finding the Third Proportional to 55,049 and 120,646

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Solution

The third proportional to 55,049 and 120,646 is: 264,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,049 : 120,646 = 120,646 : x
  2. Step 2: Convert to fraction form
    55,049/120,646 = 120,646/x
  3. Step 3: Cross multiply
    55,049x = 120,646 × 120,646
  4. Step 4: Simplify right side
    55,049x = 14,555,457,316
  5. Step 5: Solve for x
    x = 14,555,457,316/55,049
  6. Step 6: Final answer
    x = 264,409.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.