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Finding the Third Proportional to 56,271.38 and 120,075.75

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Solution

The third proportional to 56,271.38 and 120,075.75 is: 256,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,271.38 : 120,075.75 = 120,075.75 : x
  2. Step 2: Convert to fraction form
    56,271.38/120,075.75 = 120,075.75/x
  3. Step 3: Cross multiply
    56,271.38x = 120,075.75 × 120,075.75
  4. Step 4: Simplify right side
    56,271.38x = 14,418,185,738.06
  5. Step 5: Solve for x
    x = 14,418,185,738.06/56,271.38
  6. Step 6: Final answer
    x = 256,225.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.