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Finding the Third Proportional to 85,700 and 184,554

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Solution

The third proportional to 85,700 and 184,554 is: 397,434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,700 : 184,554 = 184,554 : x
  2. Step 2: Convert to fraction form
    85,700/184,554 = 184,554/x
  3. Step 3: Cross multiply
    85,700x = 184,554 × 184,554
  4. Step 4: Simplify right side
    85,700x = 34,060,178,916
  5. Step 5: Solve for x
    x = 34,060,178,916/85,700
  6. Step 6: Final answer
    x = 397,434.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.