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Finding the Third Proportional to 46,066 and 69,102

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Solution

The third proportional to 46,066 and 69,102 is: 103,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,066 : 69,102 = 69,102 : x
  2. Step 2: Convert to fraction form
    46,066/69,102 = 69,102/x
  3. Step 3: Cross multiply
    46,066x = 69,102 × 69,102
  4. Step 4: Simplify right side
    46,066x = 4,775,086,404
  5. Step 5: Solve for x
    x = 4,775,086,404/46,066
  6. Step 6: Final answer
    x = 103,657.50

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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.