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Finding the Third Proportional to 129,012.75 and 189,725.63

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Solution

The third proportional to 129,012.75 and 189,725.63 is: 279,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,012.75 : 189,725.63 = 189,725.63 : x
  2. Step 2: Convert to fraction form
    129,012.75/189,725.63 = 189,725.63/x
  3. Step 3: Cross multiply
    129,012.75x = 189,725.63 × 189,725.63
  4. Step 4: Simplify right side
    129,012.75x = 35,995,812,781.64
  5. Step 5: Solve for x
    x = 35,995,812,781.64/129,012.75
  6. Step 6: Final answer
    x = 279,009.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.