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Finding the Third Proportional to 63,490 and 138,268

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Solution

The third proportional to 63,490 and 138,268 is: 301,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,490 : 138,268 = 138,268 : x
  2. Step 2: Convert to fraction form
    63,490/138,268 = 138,268/x
  3. Step 3: Cross multiply
    63,490x = 138,268 × 138,268
  4. Step 4: Simplify right side
    63,490x = 19,118,039,824
  5. Step 5: Solve for x
    x = 19,118,039,824/63,490
  6. Step 6: Final answer
    x = 301,118.91

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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.