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Finding the Third Proportional to 94,176 and 131,988

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Solution

The third proportional to 94,176 and 131,988 is: 184,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,176 : 131,988 = 131,988 : x
  2. Step 2: Convert to fraction form
    94,176/131,988 = 131,988/x
  3. Step 3: Cross multiply
    94,176x = 131,988 × 131,988
  4. Step 4: Simplify right side
    94,176x = 17,420,832,144
  5. Step 5: Solve for x
    x = 17,420,832,144/94,176
  6. Step 6: Final answer
    x = 184,981.65

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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.