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Finding the Third Proportional to 82,175.63 and 170,669.25

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Solution

The third proportional to 82,175.63 and 170,669.25 is: 354,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,175.63 : 170,669.25 = 170,669.25 : x
  2. Step 2: Convert to fraction form
    82,175.63/170,669.25 = 170,669.25/x
  3. Step 3: Cross multiply
    82,175.63x = 170,669.25 × 170,669.25
  4. Step 4: Simplify right side
    82,175.63x = 29,127,992,895.56
  5. Step 5: Solve for x
    x = 29,127,992,895.56/82,175.63
  6. Step 6: Final answer
    x = 354,460.25

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.