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Finding the Third Proportional to 64,080.14 and 102,954.66

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Solution

The third proportional to 64,080.14 and 102,954.66 is: 165,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,080.14 : 102,954.66 = 102,954.66 : x
  2. Step 2: Convert to fraction form
    64,080.14/102,954.66 = 102,954.66/x
  3. Step 3: Cross multiply
    64,080.14x = 102,954.66 × 102,954.66
  4. Step 4: Simplify right side
    64,080.14x = 10,599,661,243.56
  5. Step 5: Solve for x
    x = 10,599,661,243.56/64,080.14
  6. Step 6: Final answer
    x = 165,412.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.