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Finding the Third Proportional to 113,226 and 162,783

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Solution

The third proportional to 113,226 and 162,783 is: 234,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,226 : 162,783 = 162,783 : x
  2. Step 2: Convert to fraction form
    113,226/162,783 = 162,783/x
  3. Step 3: Cross multiply
    113,226x = 162,783 × 162,783
  4. Step 4: Simplify right side
    113,226x = 26,498,305,089
  5. Step 5: Solve for x
    x = 26,498,305,089/113,226
  6. Step 6: Final answer
    x = 234,030.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.