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Finding the Third Proportional to 82,842.75 and 129,594.94

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Solution

The third proportional to 82,842.75 and 129,594.94 is: 202,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,842.75 : 129,594.94 = 129,594.94 : x
  2. Step 2: Convert to fraction form
    82,842.75/129,594.94 = 129,594.94/x
  3. Step 3: Cross multiply
    82,842.75x = 129,594.94 × 129,594.94
  4. Step 4: Simplify right side
    82,842.75x = 16,794,847,825.63
  5. Step 5: Solve for x
    x = 16,794,847,825.63/82,842.75
  6. Step 6: Final answer
    x = 202,731.66

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.