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Finding the Third Proportional to 46,326 and 90,348

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Solution

The third proportional to 46,326 and 90,348 is: 176,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,326 : 90,348 = 90,348 : x
  2. Step 2: Convert to fraction form
    46,326/90,348 = 90,348/x
  3. Step 3: Cross multiply
    46,326x = 90,348 × 90,348
  4. Step 4: Simplify right side
    46,326x = 8,162,761,104
  5. Step 5: Solve for x
    x = 8,162,761,104/46,326
  6. Step 6: Final answer
    x = 176,202.59

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.