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Finding the Third Proportional to 127,674 and 277,724

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Solution

The third proportional to 127,674 and 277,724 is: 604,121.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,674 : 277,724 = 277,724 : x
  2. Step 2: Convert to fraction form
    127,674/277,724 = 277,724/x
  3. Step 3: Cross multiply
    127,674x = 277,724 × 277,724
  4. Step 4: Simplify right side
    127,674x = 77,130,620,176
  5. Step 5: Solve for x
    x = 77,130,620,176/127,674
  6. Step 6: Final answer
    x = 604,121.59

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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.