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Finding the Third Proportional to 66,548.50 and 102,796

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Solution

The third proportional to 66,548.50 and 102,796 is: 158,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,548.50 : 102,796 = 102,796 : x
  2. Step 2: Convert to fraction form
    66,548.50/102,796 = 102,796/x
  3. Step 3: Cross multiply
    66,548.50x = 102,796 × 102,796
  4. Step 4: Simplify right side
    66,548.50x = 10,567,017,616
  5. Step 5: Solve for x
    x = 10,567,017,616/66,548.50
  6. Step 6: Final answer
    x = 158,786.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.