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Finding the Third Proportional to 129,966 and 279,271.50

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Solution

The third proportional to 129,966 and 279,271.50 is: 600,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,966 : 279,271.50 = 279,271.50 : x
  2. Step 2: Convert to fraction form
    129,966/279,271.50 = 279,271.50/x
  3. Step 3: Cross multiply
    129,966x = 279,271.50 × 279,271.50
  4. Step 4: Simplify right side
    129,966x = 77,992,570,712.25
  5. Step 5: Solve for x
    x = 77,992,570,712.25/129,966
  6. Step 6: Final answer
    x = 600,099.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.