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Finding the Third Proportional to 46,077 and 69,291

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Solution

The third proportional to 46,077 and 69,291 is: 104,200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077 : 69,291 = 69,291 : x
  2. Step 2: Convert to fraction form
    46,077/69,291 = 69,291/x
  3. Step 3: Cross multiply
    46,077x = 69,291 × 69,291
  4. Step 4: Simplify right side
    46,077x = 4,801,242,681
  5. Step 5: Solve for x
    x = 4,801,242,681/46,077
  6. Step 6: Final answer
    x = 104,200.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.