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Finding the Third Proportional to 114,003 and 162,783

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Solution

The third proportional to 114,003 and 162,783 is: 232,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,003 : 162,783 = 162,783 : x
  2. Step 2: Convert to fraction form
    114,003/162,783 = 162,783/x
  3. Step 3: Cross multiply
    114,003x = 162,783 × 162,783
  4. Step 4: Simplify right side
    114,003x = 26,498,305,089
  5. Step 5: Solve for x
    x = 26,498,305,089/114,003
  6. Step 6: Final answer
    x = 232,435.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.