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Finding the Third Proportional to 58,074 and 127,214

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Solution

The third proportional to 58,074 and 127,214 is: 278,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,074 : 127,214 = 127,214 : x
  2. Step 2: Convert to fraction form
    58,074/127,214 = 127,214/x
  3. Step 3: Cross multiply
    58,074x = 127,214 × 127,214
  4. Step 4: Simplify right side
    58,074x = 16,183,401,796
  5. Step 5: Solve for x
    x = 16,183,401,796/58,074
  6. Step 6: Final answer
    x = 278,668.63

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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.