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Finding the Third Proportional to 56,075.53 and 123,049.64

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Solution

The third proportional to 56,075.53 and 123,049.64 is: 270,014.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,075.53 : 123,049.64 = 123,049.64 : x
  2. Step 2: Convert to fraction form
    56,075.53/123,049.64 = 123,049.64/x
  3. Step 3: Cross multiply
    56,075.53x = 123,049.64 × 123,049.64
  4. Step 4: Simplify right side
    56,075.53x = 15,141,213,697.45
  5. Step 5: Solve for x
    x = 15,141,213,697.45/56,075.53
  6. Step 6: Final answer
    x = 270,014.62

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