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Finding the Third Proportional to 94,206 and 131,772

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Solution

The third proportional to 94,206 and 131,772 is: 184,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,206 : 131,772 = 131,772 : x
  2. Step 2: Convert to fraction form
    94,206/131,772 = 131,772/x
  3. Step 3: Cross multiply
    94,206x = 131,772 × 131,772
  4. Step 4: Simplify right side
    94,206x = 17,363,859,984
  5. Step 5: Solve for x
    x = 17,363,859,984/94,206
  6. Step 6: Final answer
    x = 184,317.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.