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Finding the Third Proportional to 71,266.50 and 150,579

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Solution

The third proportional to 71,266.50 and 150,579 is: 318,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,266.50 : 150,579 = 150,579 : x
  2. Step 2: Convert to fraction form
    71,266.50/150,579 = 150,579/x
  3. Step 3: Cross multiply
    71,266.50x = 150,579 × 150,579
  4. Step 4: Simplify right side
    71,266.50x = 22,674,035,241
  5. Step 5: Solve for x
    x = 22,674,035,241/71,266.50
  6. Step 6: Final answer
    x = 318,158.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.