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Finding the Third Proportional to 123,513 and 186,579

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Solution

The third proportional to 123,513 and 186,579 is: 281,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,513 : 186,579 = 186,579 : x
  2. Step 2: Convert to fraction form
    123,513/186,579 = 186,579/x
  3. Step 3: Cross multiply
    123,513x = 186,579 × 186,579
  4. Step 4: Simplify right side
    123,513x = 34,811,723,241
  5. Step 5: Solve for x
    x = 34,811,723,241/123,513
  6. Step 6: Final answer
    x = 281,846.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.