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Finding the Third Proportional to 63,855.75 and 138,764.63

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Solution

The third proportional to 63,855.75 and 138,764.63 is: 301,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,855.75 : 138,764.63 = 138,764.63 : x
  2. Step 2: Convert to fraction form
    63,855.75/138,764.63 = 138,764.63/x
  3. Step 3: Cross multiply
    63,855.75x = 138,764.63 × 138,764.63
  4. Step 4: Simplify right side
    63,855.75x = 19,255,621,151.39
  5. Step 5: Solve for x
    x = 19,255,621,151.39/63,855.75
  6. Step 6: Final answer
    x = 301,548.74

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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.