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Finding the Third Proportional to 64,328.55 and 102,105.56

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Solution

The third proportional to 64,328.55 and 102,105.56 is: 162,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,328.55 : 102,105.56 = 102,105.56 : x
  2. Step 2: Convert to fraction form
    64,328.55/102,105.56 = 102,105.56/x
  3. Step 3: Cross multiply
    64,328.55x = 102,105.56 × 102,105.56
  4. Step 4: Simplify right side
    64,328.55x = 10,425,545,893.44
  5. Step 5: Solve for x
    x = 10,425,545,893.44/64,328.55
  6. Step 6: Final answer
    x = 162,067.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.