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Finding the Third Proportional to 123,244 and 186,202

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Solution

The third proportional to 123,244 and 186,202 is: 281,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,244 : 186,202 = 186,202 : x
  2. Step 2: Convert to fraction form
    123,244/186,202 = 186,202/x
  3. Step 3: Cross multiply
    123,244x = 186,202 × 186,202
  4. Step 4: Simplify right side
    123,244x = 34,671,184,804
  5. Step 5: Solve for x
    x = 34,671,184,804/123,244
  6. Step 6: Final answer
    x = 281,321.48

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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.