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Finding the Third Proportional to 46,205 and 73,544

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Solution

The third proportional to 46,205 and 73,544 is: 117,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,205 : 73,544 = 73,544 : x
  2. Step 2: Convert to fraction form
    46,205/73,544 = 73,544/x
  3. Step 3: Cross multiply
    46,205x = 73,544 × 73,544
  4. Step 4: Simplify right side
    46,205x = 5,408,719,936
  5. Step 5: Solve for x
    x = 5,408,719,936/46,205
  6. Step 6: Final answer
    x = 117,059.19

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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.