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Finding the Third Proportional to 95,752 and 203,024

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Solution

The third proportional to 95,752 and 203,024 is: 430,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,752 : 203,024 = 203,024 : x
  2. Step 2: Convert to fraction form
    95,752/203,024 = 203,024/x
  3. Step 3: Cross multiply
    95,752x = 203,024 × 203,024
  4. Step 4: Simplify right side
    95,752x = 41,218,744,576
  5. Step 5: Solve for x
    x = 41,218,744,576/95,752
  6. Step 6: Final answer
    x = 430,473.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.