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Finding the Third Proportional to 58,463 and 126,255

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Solution

The third proportional to 58,463 and 126,255 is: 272,656.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,463 : 126,255 = 126,255 : x
  2. Step 2: Convert to fraction form
    58,463/126,255 = 126,255/x
  3. Step 3: Cross multiply
    58,463x = 126,255 × 126,255
  4. Step 4: Simplify right side
    58,463x = 15,940,325,025
  5. Step 5: Solve for x
    x = 15,940,325,025/58,463
  6. Step 6: Final answer
    x = 272,656.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.