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Finding the Third Proportional to 132,886 and 194,213

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Solution

The third proportional to 132,886 and 194,213 is: 283,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,886 : 194,213 = 194,213 : x
  2. Step 2: Convert to fraction form
    132,886/194,213 = 194,213/x
  3. Step 3: Cross multiply
    132,886x = 194,213 × 194,213
  4. Step 4: Simplify right side
    132,886x = 37,718,689,369
  5. Step 5: Solve for x
    x = 37,718,689,369/132,886
  6. Step 6: Final answer
    x = 283,842.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.