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Finding the Third Proportional to 63,888 and 138,636

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Solution

The third proportional to 63,888 and 138,636 is: 300,838.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,888 : 138,636 = 138,636 : x
  2. Step 2: Convert to fraction form
    63,888/138,636 = 138,636/x
  3. Step 3: Cross multiply
    63,888x = 138,636 × 138,636
  4. Step 4: Simplify right side
    63,888x = 19,219,940,496
  5. Step 5: Solve for x
    x = 19,219,940,496/63,888
  6. Step 6: Final answer
    x = 300,838.04

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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.