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Finding the Third Proportional to 132,313.50 and 199,701

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Solution

The third proportional to 132,313.50 and 199,701 is: 301,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,313.50 : 199,701 = 199,701 : x
  2. Step 2: Convert to fraction form
    132,313.50/199,701 = 199,701/x
  3. Step 3: Cross multiply
    132,313.50x = 199,701 × 199,701
  4. Step 4: Simplify right side
    132,313.50x = 39,880,489,401
  5. Step 5: Solve for x
    x = 39,880,489,401/132,313.50
  6. Step 6: Final answer
    x = 301,409.07

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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.