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Finding the Third Proportional to 112,656 and 211,119

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Solution

The third proportional to 112,656 and 211,119 is: 395,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,656 : 211,119 = 211,119 : x
  2. Step 2: Convert to fraction form
    112,656/211,119 = 211,119/x
  3. Step 3: Cross multiply
    112,656x = 211,119 × 211,119
  4. Step 4: Simplify right side
    112,656x = 44,571,232,161
  5. Step 5: Solve for x
    x = 44,571,232,161/112,656
  6. Step 6: Final answer
    x = 395,640.11

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.