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Finding the Third Proportional to 81,000 and 176,620.50

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Solution

The third proportional to 81,000 and 176,620.50 is: 385,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000 : 176,620.50 = 176,620.50 : x
  2. Step 2: Convert to fraction form
    81,000/176,620.50 = 176,620.50/x
  3. Step 3: Cross multiply
    81,000x = 176,620.50 × 176,620.50
  4. Step 4: Simplify right side
    81,000x = 31,194,801,020.25
  5. Step 5: Solve for x
    x = 31,194,801,020.25/81,000
  6. Step 6: Final answer
    x = 385,121.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.