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Finding the Third Proportional to 123,923 and 187,046

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Solution

The third proportional to 123,923 and 187,046 is: 282,322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,923 : 187,046 = 187,046 : x
  2. Step 2: Convert to fraction form
    123,923/187,046 = 187,046/x
  3. Step 3: Cross multiply
    123,923x = 187,046 × 187,046
  4. Step 4: Simplify right side
    123,923x = 34,986,206,116
  5. Step 5: Solve for x
    x = 34,986,206,116/123,923
  6. Step 6: Final answer
    x = 282,322.14

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