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Finding the Third Proportional to 97,672.50 and 200,529

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Solution

The third proportional to 97,672.50 and 200,529 is: 411,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,672.50 : 200,529 = 200,529 : x
  2. Step 2: Convert to fraction form
    97,672.50/200,529 = 200,529/x
  3. Step 3: Cross multiply
    97,672.50x = 200,529 × 200,529
  4. Step 4: Simplify right side
    97,672.50x = 40,211,879,841
  5. Step 5: Solve for x
    x = 40,211,879,841/97,672.50
  6. Step 6: Final answer
    x = 411,701.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.