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Finding the Third Proportional to 97,092.75 and 131,178

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Solution

The third proportional to 97,092.75 and 131,178 is: 177,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,092.75 : 131,178 = 131,178 : x
  2. Step 2: Convert to fraction form
    97,092.75/131,178 = 131,178/x
  3. Step 3: Cross multiply
    97,092.75x = 131,178 × 131,178
  4. Step 4: Simplify right side
    97,092.75x = 17,207,667,684
  5. Step 5: Solve for x
    x = 17,207,667,684/97,092.75
  6. Step 6: Final answer
    x = 177,229.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.