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Finding the Third Proportional to 122,946 and 189,879

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Solution

The third proportional to 122,946 and 189,879 is: 293,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,946 : 189,879 = 189,879 : x
  2. Step 2: Convert to fraction form
    122,946/189,879 = 189,879/x
  3. Step 3: Cross multiply
    122,946x = 189,879 × 189,879
  4. Step 4: Simplify right side
    122,946x = 36,054,034,641
  5. Step 5: Solve for x
    x = 36,054,034,641/122,946
  6. Step 6: Final answer
    x = 293,250.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.