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Finding the Third Proportional to 46,539 and 73,980

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Solution

The third proportional to 46,539 and 73,980 is: 117,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,539 : 73,980 = 73,980 : x
  2. Step 2: Convert to fraction form
    46,539/73,980 = 73,980/x
  3. Step 3: Cross multiply
    46,539x = 73,980 × 73,980
  4. Step 4: Simplify right side
    46,539x = 5,473,040,400
  5. Step 5: Solve for x
    x = 5,473,040,400/46,539
  6. Step 6: Final answer
    x = 117,601.16

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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.