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Finding the Third Proportional to 118,272 and 162,048

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Solution

The third proportional to 118,272 and 162,048 is: 222,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,272 : 162,048 = 162,048 : x
  2. Step 2: Convert to fraction form
    118,272/162,048 = 162,048/x
  3. Step 3: Cross multiply
    118,272x = 162,048 × 162,048
  4. Step 4: Simplify right side
    118,272x = 26,259,554,304
  5. Step 5: Solve for x
    x = 26,259,554,304/118,272
  6. Step 6: Final answer
    x = 222,026.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.