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Finding the Third Proportional to 114,760 and 251,672

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Solution

The third proportional to 114,760 and 251,672 is: 551,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,760 : 251,672 = 251,672 : x
  2. Step 2: Convert to fraction form
    114,760/251,672 = 251,672/x
  3. Step 3: Cross multiply
    114,760x = 251,672 × 251,672
  4. Step 4: Simplify right side
    114,760x = 63,338,795,584
  5. Step 5: Solve for x
    x = 63,338,795,584/114,760
  6. Step 6: Final answer
    x = 551,923.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.