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Finding the Third Proportional to 80,495 and 127,647

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Solution

The third proportional to 80,495 and 127,647 is: 202,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,495 : 127,647 = 127,647 : x
  2. Step 2: Convert to fraction form
    80,495/127,647 = 127,647/x
  3. Step 3: Cross multiply
    80,495x = 127,647 × 127,647
  4. Step 4: Simplify right side
    80,495x = 16,293,756,609
  5. Step 5: Solve for x
    x = 16,293,756,609/80,495
  6. Step 6: Final answer
    x = 202,419.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.