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Finding the Third Proportional to 64,714.50 and 138,426.75

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Solution

The third proportional to 64,714.50 and 138,426.75 is: 296,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,714.50 : 138,426.75 = 138,426.75 : x
  2. Step 2: Convert to fraction form
    64,714.50/138,426.75 = 138,426.75/x
  3. Step 3: Cross multiply
    64,714.50x = 138,426.75 × 138,426.75
  4. Step 4: Simplify right side
    64,714.50x = 19,161,965,115.56
  5. Step 5: Solve for x
    x = 19,161,965,115.56/64,714.50
  6. Step 6: Final answer
    x = 296,100.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.