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Finding the Third Proportional to 58,292.44 and 127,121.63

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Solution

The third proportional to 58,292.44 and 127,121.63 is: 277,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,292.44 : 127,121.63 = 127,121.63 : x
  2. Step 2: Convert to fraction form
    58,292.44/127,121.63 = 127,121.63/x
  3. Step 3: Cross multiply
    58,292.44x = 127,121.63 × 127,121.63
  4. Step 4: Simplify right side
    58,292.44x = 16,159,907,542.64
  5. Step 5: Solve for x
    x = 16,159,907,542.64/58,292.44
  6. Step 6: Final answer
    x = 277,221.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.