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Finding the Third Proportional to 120,713 and 177,367.50

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Solution

The third proportional to 120,713 and 177,367.50 is: 260,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,713 : 177,367.50 = 177,367.50 : x
  2. Step 2: Convert to fraction form
    120,713/177,367.50 = 177,367.50/x
  3. Step 3: Cross multiply
    120,713x = 177,367.50 × 177,367.50
  4. Step 4: Simplify right side
    120,713x = 31,459,230,056.25
  5. Step 5: Solve for x
    x = 31,459,230,056.25/120,713
  6. Step 6: Final answer
    x = 260,611.78

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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.