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Finding the Third Proportional to 95,010 and 200,700

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Solution

The third proportional to 95,010 and 200,700 is: 423,960.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,010 : 200,700 = 200,700 : x
  2. Step 2: Convert to fraction form
    95,010/200,700 = 200,700/x
  3. Step 3: Cross multiply
    95,010x = 200,700 × 200,700
  4. Step 4: Simplify right side
    95,010x = 40,280,490,000
  5. Step 5: Solve for x
    x = 40,280,490,000/95,010
  6. Step 6: Final answer
    x = 423,960.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.