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Finding the Third Proportional to 46,770 and 100,119

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Solution

The third proportional to 46,770 and 100,119 is: 214,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,770 : 100,119 = 100,119 : x
  2. Step 2: Convert to fraction form
    46,770/100,119 = 100,119/x
  3. Step 3: Cross multiply
    46,770x = 100,119 × 100,119
  4. Step 4: Simplify right side
    46,770x = 10,023,814,161
  5. Step 5: Solve for x
    x = 10,023,814,161/46,770
  6. Step 6: Final answer
    x = 214,321.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.