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Finding the Third Proportional to 84,150.75 and 181,423.50

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Solution

The third proportional to 84,150.75 and 181,423.50 is: 391,137.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,150.75 : 181,423.50 = 181,423.50 : x
  2. Step 2: Convert to fraction form
    84,150.75/181,423.50 = 181,423.50/x
  3. Step 3: Cross multiply
    84,150.75x = 181,423.50 × 181,423.50
  4. Step 4: Simplify right side
    84,150.75x = 32,914,486,352.25
  5. Step 5: Solve for x
    x = 32,914,486,352.25/84,150.75
  6. Step 6: Final answer
    x = 391,137.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.