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Finding the Third Proportional to 79,504 and 127,032

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Solution

The third proportional to 79,504 and 127,032 is: 202,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,504 : 127,032 = 127,032 : x
  2. Step 2: Convert to fraction form
    79,504/127,032 = 127,032/x
  3. Step 3: Cross multiply
    79,504x = 127,032 × 127,032
  4. Step 4: Simplify right side
    79,504x = 16,137,129,024
  5. Step 5: Solve for x
    x = 16,137,129,024/79,504
  6. Step 6: Final answer
    x = 202,972.54

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.