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Finding the Third Proportional to 56,313 and 123,075

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Solution

The third proportional to 56,313 and 123,075 is: 268,986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,313 : 123,075 = 123,075 : x
  2. Step 2: Convert to fraction form
    56,313/123,075 = 123,075/x
  3. Step 3: Cross multiply
    56,313x = 123,075 × 123,075
  4. Step 4: Simplify right side
    56,313x = 15,147,455,625
  5. Step 5: Solve for x
    x = 15,147,455,625/56,313
  6. Step 6: Final answer
    x = 268,986.83

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Why These Related Problems?

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