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Finding the Third Proportional to 59,069.44 and 127,980.38

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Solution

The third proportional to 59,069.44 and 127,980.38 is: 277,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,069.44 : 127,980.38 = 127,980.38 : x
  2. Step 2: Convert to fraction form
    59,069.44/127,980.38 = 127,980.38/x
  3. Step 3: Cross multiply
    59,069.44x = 127,980.38 × 127,980.38
  4. Step 4: Simplify right side
    59,069.44x = 16,378,976,385.14
  5. Step 5: Solve for x
    x = 16,378,976,385.14/59,069.44
  6. Step 6: Final answer
    x = 277,283.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.