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Finding the Third Proportional to 120,754.13 and 177,440.63

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Solution

The third proportional to 120,754.13 and 177,440.63 is: 260,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,754.13 : 177,440.63 = 177,440.63 : x
  2. Step 2: Convert to fraction form
    120,754.13/177,440.63 = 177,440.63/x
  3. Step 3: Cross multiply
    120,754.13x = 177,440.63 × 177,440.63
  4. Step 4: Simplify right side
    120,754.13x = 31,485,175,400.39
  5. Step 5: Solve for x
    x = 31,485,175,400.39/120,754.13
  6. Step 6: Final answer
    x = 260,737.89

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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.