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Finding the Third Proportional to 55,511.50 and 120,383

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Solution

The third proportional to 55,511.50 and 120,383 is: 261,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,511.50 : 120,383 = 120,383 : x
  2. Step 2: Convert to fraction form
    55,511.50/120,383 = 120,383/x
  3. Step 3: Cross multiply
    55,511.50x = 120,383 × 120,383
  4. Step 4: Simplify right side
    55,511.50x = 14,492,066,689
  5. Step 5: Solve for x
    x = 14,492,066,689/55,511.50
  6. Step 6: Final answer
    x = 261,064.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.