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Finding the Third Proportional to 64,007.72 and 132,150.23

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Solution

The third proportional to 64,007.72 and 132,150.23 is: 272,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,007.72 : 132,150.23 = 132,150.23 : x
  2. Step 2: Convert to fraction form
    64,007.72/132,150.23 = 132,150.23/x
  3. Step 3: Cross multiply
    64,007.72x = 132,150.23 × 132,150.23
  4. Step 4: Simplify right side
    64,007.72x = 17,463,684,445.37
  5. Step 5: Solve for x
    x = 17,463,684,445.37/64,007.72
  6. Step 6: Final answer
    x = 272,837.16

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.