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Finding the Third Proportional to 84,672.75 and 186,623.25

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Solution

The third proportional to 84,672.75 and 186,623.25 is: 411,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,672.75 : 186,623.25 = 186,623.25 : x
  2. Step 2: Convert to fraction form
    84,672.75/186,623.25 = 186,623.25/x
  3. Step 3: Cross multiply
    84,672.75x = 186,623.25 × 186,623.25
  4. Step 4: Simplify right side
    84,672.75x = 34,828,237,440.56
  5. Step 5: Solve for x
    x = 34,828,237,440.56/84,672.75
  6. Step 6: Final answer
    x = 411,327.58

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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.