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Finding the Third Proportional to 102,559.50 and 155,208.75

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Solution

The third proportional to 102,559.50 and 155,208.75 is: 234,885.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,559.50 : 155,208.75 = 155,208.75 : x
  2. Step 2: Convert to fraction form
    102,559.50/155,208.75 = 155,208.75/x
  3. Step 3: Cross multiply
    102,559.50x = 155,208.75 × 155,208.75
  4. Step 4: Simplify right side
    102,559.50x = 24,089,756,076.56
  5. Step 5: Solve for x
    x = 24,089,756,076.56/102,559.50
  6. Step 6: Final answer
    x = 234,885.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.