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Finding the Third Proportional to 127,824 and 266,112

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Solution

The third proportional to 127,824 and 266,112 is: 554,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,824 : 266,112 = 266,112 : x
  2. Step 2: Convert to fraction form
    127,824/266,112 = 266,112/x
  3. Step 3: Cross multiply
    127,824x = 266,112 × 266,112
  4. Step 4: Simplify right side
    127,824x = 70,815,596,544
  5. Step 5: Solve for x
    x = 70,815,596,544/127,824
  6. Step 6: Final answer
    x = 554,008.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.