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Finding the Third Proportional to 82,555.88 and 176,775.75

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Solution

The third proportional to 82,555.88 and 176,775.75 is: 378,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,555.88 : 176,775.75 = 176,775.75 : x
  2. Step 2: Convert to fraction form
    82,555.88/176,775.75 = 176,775.75/x
  3. Step 3: Cross multiply
    82,555.88x = 176,775.75 × 176,775.75
  4. Step 4: Simplify right side
    82,555.88x = 31,249,665,788.06
  5. Step 5: Solve for x
    x = 31,249,665,788.06/82,555.88
  6. Step 6: Final answer
    x = 378,527.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.