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Finding the Third Proportional to 137,282.06 and 281,253.94

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Solution

The third proportional to 137,282.06 and 281,253.94 is: 576,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,282.06 : 281,253.94 = 281,253.94 : x
  2. Step 2: Convert to fraction form
    137,282.06/281,253.94 = 281,253.94/x
  3. Step 3: Cross multiply
    137,282.06x = 281,253.94 × 281,253.94
  4. Step 4: Simplify right side
    137,282.06x = 79,103,777,359.25
  5. Step 5: Solve for x
    x = 79,103,777,359.25/137,282.06
  6. Step 6: Final answer
    x = 576,213.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.