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Finding the Third Proportional to 63,796 and 130,184

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Solution

The third proportional to 63,796 and 130,184 is: 265,657.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,796 : 130,184 = 130,184 : x
  2. Step 2: Convert to fraction form
    63,796/130,184 = 130,184/x
  3. Step 3: Cross multiply
    63,796x = 130,184 × 130,184
  4. Step 4: Simplify right side
    63,796x = 16,947,873,856
  5. Step 5: Solve for x
    x = 16,947,873,856/63,796
  6. Step 6: Final answer
    x = 265,657.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.