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Finding the Third Proportional to 46,504 and 73,900

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Solution

The third proportional to 46,504 and 73,900 is: 117,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,504 : 73,900 = 73,900 : x
  2. Step 2: Convert to fraction form
    46,504/73,900 = 73,900/x
  3. Step 3: Cross multiply
    46,504x = 73,900 × 73,900
  4. Step 4: Simplify right side
    46,504x = 5,461,210,000
  5. Step 5: Solve for x
    x = 5,461,210,000/46,504
  6. Step 6: Final answer
    x = 117,435.27

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