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Finding the Third Proportional to 142,203 and 166,807

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Solution

The third proportional to 142,203 and 166,807 is: 195,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,203 : 166,807 = 166,807 : x
  2. Step 2: Convert to fraction form
    142,203/166,807 = 166,807/x
  3. Step 3: Cross multiply
    142,203x = 166,807 × 166,807
  4. Step 4: Simplify right side
    142,203x = 27,824,575,249
  5. Step 5: Solve for x
    x = 27,824,575,249/142,203
  6. Step 6: Final answer
    x = 195,667.99

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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.