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Finding the Third Proportional to 137,952 and 281,736

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Solution

The third proportional to 137,952 and 281,736 is: 575,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,952 : 281,736 = 281,736 : x
  2. Step 2: Convert to fraction form
    137,952/281,736 = 281,736/x
  3. Step 3: Cross multiply
    137,952x = 281,736 × 281,736
  4. Step 4: Simplify right side
    137,952x = 79,375,173,696
  5. Step 5: Solve for x
    x = 79,375,173,696/137,952
  6. Step 6: Final answer
    x = 575,382.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.