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Finding the Third Proportional to 58,280 and 127,768

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Solution

The third proportional to 58,280 and 127,768 is: 280,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,280 : 127,768 = 127,768 : x
  2. Step 2: Convert to fraction form
    58,280/127,768 = 127,768/x
  3. Step 3: Cross multiply
    58,280x = 127,768 × 127,768
  4. Step 4: Simplify right side
    58,280x = 16,324,661,824
  5. Step 5: Solve for x
    x = 16,324,661,824/58,280
  6. Step 6: Final answer
    x = 280,107.44

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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.