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Finding the Third Proportional to 132,997.50 and 203,473.13

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Solution

The third proportional to 132,997.50 and 203,473.13 is: 311,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,997.50 : 203,473.13 = 203,473.13 : x
  2. Step 2: Convert to fraction form
    132,997.50/203,473.13 = 203,473.13/x
  3. Step 3: Cross multiply
    132,997.50x = 203,473.13 × 203,473.13
  4. Step 4: Simplify right side
    132,997.50x = 41,401,312,597.27
  5. Step 5: Solve for x
    x = 41,401,312,597.27/132,997.50
  6. Step 6: Final answer
    x = 311,293.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.