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Finding the Third Proportional to 129,083 and 279,611.50

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Solution

The third proportional to 129,083 and 279,611.50 is: 605,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,083 : 279,611.50 = 279,611.50 : x
  2. Step 2: Convert to fraction form
    129,083/279,611.50 = 279,611.50/x
  3. Step 3: Cross multiply
    129,083x = 279,611.50 × 279,611.50
  4. Step 4: Simplify right side
    129,083x = 78,182,590,932.25
  5. Step 5: Solve for x
    x = 78,182,590,932.25/129,083
  6. Step 6: Final answer
    x = 605,676.90

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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.