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Finding the Third Proportional to 85,727.50 and 188,423

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Solution

The third proportional to 85,727.50 and 188,423 is: 414,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,727.50 : 188,423 = 188,423 : x
  2. Step 2: Convert to fraction form
    85,727.50/188,423 = 188,423/x
  3. Step 3: Cross multiply
    85,727.50x = 188,423 × 188,423
  4. Step 4: Simplify right side
    85,727.50x = 35,503,226,929
  5. Step 5: Solve for x
    x = 35,503,226,929/85,727.50
  6. Step 6: Final answer
    x = 414,140.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.