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Finding the Third Proportional to 83,999 and 129,968

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Solution

The third proportional to 83,999 and 129,968 is: 201,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,999 : 129,968 = 129,968 : x
  2. Step 2: Convert to fraction form
    83,999/129,968 = 129,968/x
  3. Step 3: Cross multiply
    83,999x = 129,968 × 129,968
  4. Step 4: Simplify right side
    83,999x = 16,891,681,024
  5. Step 5: Solve for x
    x = 16,891,681,024/83,999
  6. Step 6: Final answer
    x = 201,093.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.