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Finding the Third Proportional to 85,892.25 and 129,779.75

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Solution

The third proportional to 85,892.25 and 129,779.75 is: 196,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,892.25 : 129,779.75 = 129,779.75 : x
  2. Step 2: Convert to fraction form
    85,892.25/129,779.75 = 129,779.75/x
  3. Step 3: Cross multiply
    85,892.25x = 129,779.75 × 129,779.75
  4. Step 4: Simplify right side
    85,892.25x = 16,842,783,510.06
  5. Step 5: Solve for x
    x = 16,842,783,510.06/85,892.25
  6. Step 6: Final answer
    x = 196,092.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.