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Finding the Third Proportional to 72,286 and 114,999

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Solution

The third proportional to 72,286 and 114,999 is: 182,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,286 : 114,999 = 114,999 : x
  2. Step 2: Convert to fraction form
    72,286/114,999 = 114,999/x
  3. Step 3: Cross multiply
    72,286x = 114,999 × 114,999
  4. Step 4: Simplify right side
    72,286x = 13,224,770,001
  5. Step 5: Solve for x
    x = 13,224,770,001/72,286
  6. Step 6: Final answer
    x = 182,950.64

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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.