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Finding the Third Proportional to 63,675.28 and 138,407.06

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Solution

The third proportional to 63,675.28 and 138,407.06 is: 300,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,675.28 : 138,407.06 = 138,407.06 : x
  2. Step 2: Convert to fraction form
    63,675.28/138,407.06 = 138,407.06/x
  3. Step 3: Cross multiply
    63,675.28x = 138,407.06 × 138,407.06
  4. Step 4: Simplify right side
    63,675.28x = 19,156,514,949.88
  5. Step 5: Solve for x
    x = 19,156,514,949.88/63,675.28
  6. Step 6: Final answer
    x = 300,846.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.