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Finding the Third Proportional to 122,925 and 189,846

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Solution

The third proportional to 122,925 and 189,846 is: 293,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,925 : 189,846 = 189,846 : x
  2. Step 2: Convert to fraction form
    122,925/189,846 = 189,846/x
  3. Step 3: Cross multiply
    122,925x = 189,846 × 189,846
  4. Step 4: Simplify right side
    122,925x = 36,041,503,716
  5. Step 5: Solve for x
    x = 36,041,503,716/122,925
  6. Step 6: Final answer
    x = 293,199.14

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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.