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Finding the Third Proportional to 64,752.54 and 132,714.70

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Solution

The third proportional to 64,752.54 and 132,714.70 is: 272,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,752.54 : 132,714.70 = 132,714.70 : x
  2. Step 2: Convert to fraction form
    64,752.54/132,714.70 = 132,714.70/x
  3. Step 3: Cross multiply
    64,752.54x = 132,714.70 × 132,714.70
  4. Step 4: Simplify right side
    64,752.54x = 17,613,192,425.56
  5. Step 5: Solve for x
    x = 17,613,192,425.56/64,752.54
  6. Step 6: Final answer
    x = 272,007.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.