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Finding the Third Proportional to 122,948 and 189,882

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Solution

The third proportional to 122,948 and 189,882 is: 293,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,948 : 189,882 = 189,882 : x
  2. Step 2: Convert to fraction form
    122,948/189,882 = 189,882/x
  3. Step 3: Cross multiply
    122,948x = 189,882 × 189,882
  4. Step 4: Simplify right side
    122,948x = 36,055,173,924
  5. Step 5: Solve for x
    x = 36,055,173,924/122,948
  6. Step 6: Final answer
    x = 293,255.47

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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.