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Finding the Third Proportional to 58,067.75 and 127,201

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Solution

The third proportional to 58,067.75 and 127,201 is: 278,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,067.75 : 127,201 = 127,201 : x
  2. Step 2: Convert to fraction form
    58,067.75/127,201 = 127,201/x
  3. Step 3: Cross multiply
    58,067.75x = 127,201 × 127,201
  4. Step 4: Simplify right side
    58,067.75x = 16,180,094,401
  5. Step 5: Solve for x
    x = 16,180,094,401/58,067.75
  6. Step 6: Final answer
    x = 278,641.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.