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Finding the Third Proportional to 84,225 and 187,134

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Solution

The third proportional to 84,225 and 187,134 is: 415,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,225 : 187,134 = 187,134 : x
  2. Step 2: Convert to fraction form
    84,225/187,134 = 187,134/x
  3. Step 3: Cross multiply
    84,225x = 187,134 × 187,134
  4. Step 4: Simplify right side
    84,225x = 35,019,133,956
  5. Step 5: Solve for x
    x = 35,019,133,956/84,225
  6. Step 6: Final answer
    x = 415,780.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.