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Finding the Third Proportional to 46,922 and 73,263

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Solution

The third proportional to 46,922 and 73,263 is: 114,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,922 : 73,263 = 73,263 : x
  2. Step 2: Convert to fraction form
    46,922/73,263 = 73,263/x
  3. Step 3: Cross multiply
    46,922x = 73,263 × 73,263
  4. Step 4: Simplify right side
    46,922x = 5,367,467,169
  5. Step 5: Solve for x
    x = 5,367,467,169/46,922
  6. Step 6: Final answer
    x = 114,391.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.