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Finding the Third Proportional to 82,304 and 125,232

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Solution

The third proportional to 82,304 and 125,232 is: 190,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,304 : 125,232 = 125,232 : x
  2. Step 2: Convert to fraction form
    82,304/125,232 = 125,232/x
  3. Step 3: Cross multiply
    82,304x = 125,232 × 125,232
  4. Step 4: Simplify right side
    82,304x = 15,683,053,824
  5. Step 5: Solve for x
    x = 15,683,053,824/82,304
  6. Step 6: Final answer
    x = 190,550.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.