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Finding the Third Proportional to 46,904 and 95,544

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Solution

The third proportional to 46,904 and 95,544 is: 194,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,904 : 95,544 = 95,544 : x
  2. Step 2: Convert to fraction form
    46,904/95,544 = 95,544/x
  3. Step 3: Cross multiply
    46,904x = 95,544 × 95,544
  4. Step 4: Simplify right side
    46,904x = 9,128,655,936
  5. Step 5: Solve for x
    x = 9,128,655,936/46,904
  6. Step 6: Final answer
    x = 194,624.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.