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Finding the Third Proportional to 85,837.50 and 186,453

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Solution

The third proportional to 85,837.50 and 186,453 is: 405,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,837.50 : 186,453 = 186,453 : x
  2. Step 2: Convert to fraction form
    85,837.50/186,453 = 186,453/x
  3. Step 3: Cross multiply
    85,837.50x = 186,453 × 186,453
  4. Step 4: Simplify right side
    85,837.50x = 34,764,721,209
  5. Step 5: Solve for x
    x = 34,764,721,209/85,837.50
  6. Step 6: Final answer
    x = 405,006.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.