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Finding the Third Proportional to 58,880 and 127,546

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Solution

The third proportional to 58,880 and 127,546 is: 276,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,880 : 127,546 = 127,546 : x
  2. Step 2: Convert to fraction form
    58,880/127,546 = 127,546/x
  3. Step 3: Cross multiply
    58,880x = 127,546 × 127,546
  4. Step 4: Simplify right side
    58,880x = 16,267,982,116
  5. Step 5: Solve for x
    x = 16,267,982,116/58,880
  6. Step 6: Final answer
    x = 276,290.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.