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Finding the Third Proportional to 63,896 and 135,986

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Solution

The third proportional to 63,896 and 135,986 is: 289,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,896 : 135,986 = 135,986 : x
  2. Step 2: Convert to fraction form
    63,896/135,986 = 135,986/x
  3. Step 3: Cross multiply
    63,896x = 135,986 × 135,986
  4. Step 4: Simplify right side
    63,896x = 18,492,192,196
  5. Step 5: Solve for x
    x = 18,492,192,196/63,896
  6. Step 6: Final answer
    x = 289,410.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.