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Finding the Third Proportional to 122,333.25 and 189,066.38

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Solution

The third proportional to 122,333.25 and 189,066.38 is: 292,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,333.25 : 189,066.38 = 189,066.38 : x
  2. Step 2: Convert to fraction form
    122,333.25/189,066.38 = 189,066.38/x
  3. Step 3: Cross multiply
    122,333.25x = 189,066.38 × 189,066.38
  4. Step 4: Simplify right side
    122,333.25x = 35,746,094,155.64
  5. Step 5: Solve for x
    x = 35,746,094,155.64/122,333.25
  6. Step 6: Final answer
    x = 292,202.60

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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.