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Finding the Third Proportional to 123,632 and 186,022

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Solution

The third proportional to 123,632 and 186,022 is: 279,896.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,632 : 186,022 = 186,022 : x
  2. Step 2: Convert to fraction form
    123,632/186,022 = 186,022/x
  3. Step 3: Cross multiply
    123,632x = 186,022 × 186,022
  4. Step 4: Simplify right side
    123,632x = 34,604,184,484
  5. Step 5: Solve for x
    x = 34,604,184,484/123,632
  6. Step 6: Final answer
    x = 279,896.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.