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Finding the Third Proportional to 56,579 and 123,303

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Solution

The third proportional to 56,579 and 123,303 is: 268,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,579 : 123,303 = 123,303 : x
  2. Step 2: Convert to fraction form
    56,579/123,303 = 123,303/x
  3. Step 3: Cross multiply
    56,579x = 123,303 × 123,303
  4. Step 4: Simplify right side
    56,579x = 15,203,629,809
  5. Step 5: Solve for x
    x = 15,203,629,809/56,579
  6. Step 6: Final answer
    x = 268,715.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.