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Finding the Third Proportional to 94,632 and 131,580

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Solution

The third proportional to 94,632 and 131,580 is: 182,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,632 : 131,580 = 131,580 : x
  2. Step 2: Convert to fraction form
    94,632/131,580 = 131,580/x
  3. Step 3: Cross multiply
    94,632x = 131,580 × 131,580
  4. Step 4: Simplify right side
    94,632x = 17,313,296,400
  5. Step 5: Solve for x
    x = 17,313,296,400/94,632
  6. Step 6: Final answer
    x = 182,953.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.