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Finding the Third Proportional to 129,252.38 and 189,372.94

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Solution

The third proportional to 129,252.38 and 189,372.94 is: 277,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,252.38 : 189,372.94 = 189,372.94 : x
  2. Step 2: Convert to fraction form
    129,252.38/189,372.94 = 189,372.94/x
  3. Step 3: Cross multiply
    129,252.38x = 189,372.94 × 189,372.94
  4. Step 4: Simplify right side
    129,252.38x = 35,862,109,457.38
  5. Step 5: Solve for x
    x = 35,862,109,457.38/129,252.38
  6. Step 6: Final answer
    x = 277,458.03

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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.