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Finding the Third Proportional to 129,072.98 and 279,597.70

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Solution

The third proportional to 129,072.98 and 279,597.70 is: 605,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,072.98 : 279,597.70 = 279,597.70 : x
  2. Step 2: Convert to fraction form
    129,072.98/279,597.70 = 279,597.70/x
  3. Step 3: Cross multiply
    129,072.98x = 279,597.70 × 279,597.70
  4. Step 4: Simplify right side
    129,072.98x = 78,174,875,592.78
  5. Step 5: Solve for x
    x = 78,174,875,592.78/129,072.98
  6. Step 6: Final answer
    x = 605,664.12

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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.