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Finding the Third Proportional to 55,804 and 120,152

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Solution

The third proportional to 55,804 and 120,152 is: 258,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,804 : 120,152 = 120,152 : x
  2. Step 2: Convert to fraction form
    55,804/120,152 = 120,152/x
  3. Step 3: Cross multiply
    55,804x = 120,152 × 120,152
  4. Step 4: Simplify right side
    55,804x = 14,436,503,104
  5. Step 5: Solve for x
    x = 14,436,503,104/55,804
  6. Step 6: Final answer
    x = 258,700.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.