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Finding the Third Proportional to 83,607.75 and 127,008.75

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Solution

The third proportional to 83,607.75 and 127,008.75 is: 192,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,607.75 : 127,008.75 = 127,008.75 : x
  2. Step 2: Convert to fraction form
    83,607.75/127,008.75 = 127,008.75/x
  3. Step 3: Cross multiply
    83,607.75x = 127,008.75 × 127,008.75
  4. Step 4: Simplify right side
    83,607.75x = 16,131,222,576.56
  5. Step 5: Solve for x
    x = 16,131,222,576.56/83,607.75
  6. Step 6: Final answer
    x = 192,939.32

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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.