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Finding the Third Proportional to 128,529.75 and 205,248.75

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Solution

The third proportional to 128,529.75 and 205,248.75 is: 327,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,529.75 : 205,248.75 = 205,248.75 : x
  2. Step 2: Convert to fraction form
    128,529.75/205,248.75 = 205,248.75/x
  3. Step 3: Cross multiply
    128,529.75x = 205,248.75 × 205,248.75
  4. Step 4: Simplify right side
    128,529.75x = 42,127,049,376.56
  5. Step 5: Solve for x
    x = 42,127,049,376.56/128,529.75
  6. Step 6: Final answer
    x = 327,761.08

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.