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Finding the Third Proportional to 112,886 and 154,797

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Solution

The third proportional to 112,886 and 154,797 is: 212,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,886 : 154,797 = 154,797 : x
  2. Step 2: Convert to fraction form
    112,886/154,797 = 154,797/x
  3. Step 3: Cross multiply
    112,886x = 154,797 × 154,797
  4. Step 4: Simplify right side
    112,886x = 23,962,111,209
  5. Step 5: Solve for x
    x = 23,962,111,209/112,886
  6. Step 6: Final answer
    x = 212,268.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.