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Finding the Third Proportional to 120,832.50 and 177,549

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Solution

The third proportional to 120,832.50 and 177,549 is: 260,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,832.50 : 177,549 = 177,549 : x
  2. Step 2: Convert to fraction form
    120,832.50/177,549 = 177,549/x
  3. Step 3: Cross multiply
    120,832.50x = 177,549 × 177,549
  4. Step 4: Simplify right side
    120,832.50x = 31,523,647,401
  5. Step 5: Solve for x
    x = 31,523,647,401/120,832.50
  6. Step 6: Final answer
    x = 260,887.16

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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.