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Finding the Third Proportional to 129,260.25 and 186,172.88

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Solution

The third proportional to 129,260.25 and 186,172.88 is: 268,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,260.25 : 186,172.88 = 186,172.88 : x
  2. Step 2: Convert to fraction form
    129,260.25/186,172.88 = 186,172.88/x
  3. Step 3: Cross multiply
    129,260.25x = 186,172.88 × 186,172.88
  4. Step 4: Simplify right side
    129,260.25x = 34,660,339,385.77
  5. Step 5: Solve for x
    x = 34,660,339,385.77/129,260.25
  6. Step 6: Final answer
    x = 268,143.84

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.