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Finding the Third Proportional to 104,087.53 and 155,846.53

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Solution

The third proportional to 104,087.53 and 155,846.53 is: 233,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,087.53 : 155,846.53 = 155,846.53 : x
  2. Step 2: Convert to fraction form
    104,087.53/155,846.53 = 155,846.53/x
  3. Step 3: Cross multiply
    104,087.53x = 155,846.53 × 155,846.53
  4. Step 4: Simplify right side
    104,087.53x = 24,288,141,302.66
  5. Step 5: Solve for x
    x = 24,288,141,302.66/104,087.53
  6. Step 6: Final answer
    x = 233,343.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.