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Finding the Third Proportional to 142,200.56 and 166,804.31

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Solution

The third proportional to 142,200.56 and 166,804.31 is: 195,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,200.56 : 166,804.31 = 166,804.31 : x
  2. Step 2: Convert to fraction form
    142,200.56/166,804.31 = 166,804.31/x
  3. Step 3: Cross multiply
    142,200.56x = 166,804.31 × 166,804.31
  4. Step 4: Simplify right side
    142,200.56x = 27,823,678,668.60
  5. Step 5: Solve for x
    x = 27,823,678,668.60/142,200.56
  6. Step 6: Final answer
    x = 195,665.04

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.