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Finding the Third Proportional to 46,173 and 100,434

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Solution

The third proportional to 46,173 and 100,434 is: 218,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,173 : 100,434 = 100,434 : x
  2. Step 2: Convert to fraction form
    46,173/100,434 = 100,434/x
  3. Step 3: Cross multiply
    46,173x = 100,434 × 100,434
  4. Step 4: Simplify right side
    46,173x = 10,086,988,356
  5. Step 5: Solve for x
    x = 10,086,988,356/46,173
  6. Step 6: Final answer
    x = 218,460.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.