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Finding the Third Proportional to 84,483 and 126,461.25

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Solution

The third proportional to 84,483 and 126,461.25 is: 189,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,483 : 126,461.25 = 126,461.25 : x
  2. Step 2: Convert to fraction form
    84,483/126,461.25 = 126,461.25/x
  3. Step 3: Cross multiply
    84,483x = 126,461.25 × 126,461.25
  4. Step 4: Simplify right side
    84,483x = 15,992,447,751.56
  5. Step 5: Solve for x
    x = 15,992,447,751.56/84,483
  6. Step 6: Final answer
    x = 189,297.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.