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Finding the Third Proportional to 58,568 and 127,736

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Solution

The third proportional to 58,568 and 127,736 is: 278,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,568 : 127,736 = 127,736 : x
  2. Step 2: Convert to fraction form
    58,568/127,736 = 127,736/x
  3. Step 3: Cross multiply
    58,568x = 127,736 × 127,736
  4. Step 4: Simplify right side
    58,568x = 16,316,485,696
  5. Step 5: Solve for x
    x = 16,316,485,696/58,568
  6. Step 6: Final answer
    x = 278,590.45

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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.