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Finding the Third Proportional to 63,824 and 130,816

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Solution

The third proportional to 63,824 and 130,816 is: 268,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,824 : 130,816 = 130,816 : x
  2. Step 2: Convert to fraction form
    63,824/130,816 = 130,816/x
  3. Step 3: Cross multiply
    63,824x = 130,816 × 130,816
  4. Step 4: Simplify right side
    63,824x = 17,112,825,856
  5. Step 5: Solve for x
    x = 17,112,825,856/63,824
  6. Step 6: Final answer
    x = 268,125.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.