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Finding the Third Proportional to 102,234.75 and 155,191.50

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Solution

The third proportional to 102,234.75 and 155,191.50 is: 235,579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,234.75 : 155,191.50 = 155,191.50 : x
  2. Step 2: Convert to fraction form
    102,234.75/155,191.50 = 155,191.50/x
  3. Step 3: Cross multiply
    102,234.75x = 155,191.50 × 155,191.50
  4. Step 4: Simplify right side
    102,234.75x = 24,084,401,672.25
  5. Step 5: Solve for x
    x = 24,084,401,672.25/102,234.75
  6. Step 6: Final answer
    x = 235,579.41

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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.