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Finding the Third Proportional to 114,003 and 247,686

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Solution

The third proportional to 114,003 and 247,686 is: 538,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,003 : 247,686 = 247,686 : x
  2. Step 2: Convert to fraction form
    114,003/247,686 = 247,686/x
  3. Step 3: Cross multiply
    114,003x = 247,686 × 247,686
  4. Step 4: Simplify right side
    114,003x = 61,348,354,596
  5. Step 5: Solve for x
    x = 61,348,354,596/114,003
  6. Step 6: Final answer
    x = 538,129.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.