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Finding the Third Proportional to 59,302.75 and 129,134.75

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Solution

The third proportional to 59,302.75 and 129,134.75 is: 281,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,302.75 : 129,134.75 = 129,134.75 : x
  2. Step 2: Convert to fraction form
    59,302.75/129,134.75 = 129,134.75/x
  3. Step 3: Cross multiply
    59,302.75x = 129,134.75 × 129,134.75
  4. Step 4: Simplify right side
    59,302.75x = 16,675,783,657.56
  5. Step 5: Solve for x
    x = 16,675,783,657.56/59,302.75
  6. Step 6: Final answer
    x = 281,197.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.