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Finding the Third Proportional to 84,179.75 and 187,043

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Solution

The third proportional to 84,179.75 and 187,043 is: 415,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,179.75 : 187,043 = 187,043 : x
  2. Step 2: Convert to fraction form
    84,179.75/187,043 = 187,043/x
  3. Step 3: Cross multiply
    84,179.75x = 187,043 × 187,043
  4. Step 4: Simplify right side
    84,179.75x = 34,985,083,849
  5. Step 5: Solve for x
    x = 34,985,083,849/84,179.75
  6. Step 6: Final answer
    x = 415,599.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.