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Finding the Third Proportional to 63,904 and 95,896

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Solution

The third proportional to 63,904 and 95,896 is: 143,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,904 : 95,896 = 95,896 : x
  2. Step 2: Convert to fraction form
    63,904/95,896 = 95,896/x
  3. Step 3: Cross multiply
    63,904x = 95,896 × 95,896
  4. Step 4: Simplify right side
    63,904x = 9,196,042,816
  5. Step 5: Solve for x
    x = 9,196,042,816/63,904
  6. Step 6: Final answer
    x = 143,904.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.