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Finding the Third Proportional to 46,106 and 73,191

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Solution

The third proportional to 46,106 and 73,191 is: 116,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,106 : 73,191 = 73,191 : x
  2. Step 2: Convert to fraction form
    46,106/73,191 = 73,191/x
  3. Step 3: Cross multiply
    46,106x = 73,191 × 73,191
  4. Step 4: Simplify right side
    46,106x = 5,356,922,481
  5. Step 5: Solve for x
    x = 5,356,922,481/46,106
  6. Step 6: Final answer
    x = 116,187.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.