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Finding the Third Proportional to 83,969 and 127,958

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Solution

The third proportional to 83,969 and 127,958 is: 194,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,969 : 127,958 = 127,958 : x
  2. Step 2: Convert to fraction form
    83,969/127,958 = 127,958/x
  3. Step 3: Cross multiply
    83,969x = 127,958 × 127,958
  4. Step 4: Simplify right side
    83,969x = 16,373,249,764
  5. Step 5: Solve for x
    x = 16,373,249,764/83,969
  6. Step 6: Final answer
    x = 194,991.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.