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Finding the Third Proportional to 81,022.50 and 176,665.50

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Solution

The third proportional to 81,022.50 and 176,665.50 is: 385,210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,022.50 : 176,665.50 = 176,665.50 : x
  2. Step 2: Convert to fraction form
    81,022.50/176,665.50 = 176,665.50/x
  3. Step 3: Cross multiply
    81,022.50x = 176,665.50 × 176,665.50
  4. Step 4: Simplify right side
    81,022.50x = 31,210,698,890.25
  5. Step 5: Solve for x
    x = 31,210,698,890.25/81,022.50
  6. Step 6: Final answer
    x = 385,210.27

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