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Finding the Third Proportional to 55,690.50 and 120,075

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Solution

The third proportional to 55,690.50 and 120,075 is: 258,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,690.50 : 120,075 = 120,075 : x
  2. Step 2: Convert to fraction form
    55,690.50/120,075 = 120,075/x
  3. Step 3: Cross multiply
    55,690.50x = 120,075 × 120,075
  4. Step 4: Simplify right side
    55,690.50x = 14,418,005,625
  5. Step 5: Solve for x
    x = 14,418,005,625/55,690.50
  6. Step 6: Final answer
    x = 258,895.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.