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Finding the Third Proportional to 114,057 and 251,010

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Solution

The third proportional to 114,057 and 251,010 is: 552,408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,057 : 251,010 = 251,010 : x
  2. Step 2: Convert to fraction form
    114,057/251,010 = 251,010/x
  3. Step 3: Cross multiply
    114,057x = 251,010 × 251,010
  4. Step 4: Simplify right side
    114,057x = 63,006,020,100
  5. Step 5: Solve for x
    x = 63,006,020,100/114,057
  6. Step 6: Final answer
    x = 552,408.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.