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Finding the Third Proportional to 120,427.88 and 173,191.50

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Solution

The third proportional to 120,427.88 and 173,191.50 is: 249,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,427.88 : 173,191.50 = 173,191.50 : x
  2. Step 2: Convert to fraction form
    120,427.88/173,191.50 = 173,191.50/x
  3. Step 3: Cross multiply
    120,427.88x = 173,191.50 × 173,191.50
  4. Step 4: Simplify right side
    120,427.88x = 29,995,295,672.25
  5. Step 5: Solve for x
    x = 29,995,295,672.25/120,427.88
  6. Step 6: Final answer
    x = 249,072.70

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.