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Finding the Third Proportional to 129,115.13 and 279,669.38

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Solution

The third proportional to 129,115.13 and 279,669.38 is: 605,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,115.13 : 279,669.38 = 279,669.38 : x
  2. Step 2: Convert to fraction form
    129,115.13/279,669.38 = 279,669.38/x
  3. Step 3: Cross multiply
    129,115.13x = 279,669.38 × 279,669.38
  4. Step 4: Simplify right side
    129,115.13x = 78,214,959,312.89
  5. Step 5: Solve for x
    x = 78,214,959,312.89/129,115.13
  6. Step 6: Final answer
    x = 605,776.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.