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Finding the Third Proportional to 83,286 and 118,699

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Solution

The third proportional to 83,286 and 118,699 is: 169,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,286 : 118,699 = 118,699 : x
  2. Step 2: Convert to fraction form
    83,286/118,699 = 118,699/x
  3. Step 3: Cross multiply
    83,286x = 118,699 × 118,699
  4. Step 4: Simplify right side
    83,286x = 14,089,452,601
  5. Step 5: Solve for x
    x = 14,089,452,601/83,286
  6. Step 6: Final answer
    x = 169,169.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.