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Finding the Third Proportional to 122,420.74 and 189,166.96

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Solution

The third proportional to 122,420.74 and 189,166.96 is: 292,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,420.74 : 189,166.96 = 189,166.96 : x
  2. Step 2: Convert to fraction form
    122,420.74/189,166.96 = 189,166.96/x
  3. Step 3: Cross multiply
    122,420.74x = 189,166.96 × 189,166.96
  4. Step 4: Simplify right side
    122,420.74x = 35,784,137,632.46
  5. Step 5: Solve for x
    x = 35,784,137,632.46/122,420.74
  6. Step 6: Final answer
    x = 292,304.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.