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Finding the Third Proportional to 120,056.63 and 173,886.75

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Solution

The third proportional to 120,056.63 and 173,886.75 is: 251,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,056.63 : 173,886.75 = 173,886.75 : x
  2. Step 2: Convert to fraction form
    120,056.63/173,886.75 = 173,886.75/x
  3. Step 3: Cross multiply
    120,056.63x = 173,886.75 × 173,886.75
  4. Step 4: Simplify right side
    120,056.63x = 30,236,601,825.56
  5. Step 5: Solve for x
    x = 30,236,601,825.56/120,056.63
  6. Step 6: Final answer
    x = 251,852.84

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.