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Finding the Third Proportional to 112,105 and 186,841

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Solution

The third proportional to 112,105 and 186,841 is: 311,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,105 : 186,841 = 186,841 : x
  2. Step 2: Convert to fraction form
    112,105/186,841 = 186,841/x
  3. Step 3: Cross multiply
    112,105x = 186,841 × 186,841
  4. Step 4: Simplify right side
    112,105x = 34,909,559,281
  5. Step 5: Solve for x
    x = 34,909,559,281/112,105
  6. Step 6: Final answer
    x = 311,400.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.