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Finding the Third Proportional to 123,230 and 185,722

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Solution

The third proportional to 123,230 and 185,722 is: 279,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,230 : 185,722 = 185,722 : x
  2. Step 2: Convert to fraction form
    123,230/185,722 = 185,722/x
  3. Step 3: Cross multiply
    123,230x = 185,722 × 185,722
  4. Step 4: Simplify right side
    123,230x = 34,492,661,284
  5. Step 5: Solve for x
    x = 34,492,661,284/123,230
  6. Step 6: Final answer
    x = 279,904.74

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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.