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Finding the Third Proportional to 133,130.67 and 181,884.66

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Solution

The third proportional to 133,130.67 and 181,884.66 is: 248,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,130.67 : 181,884.66 = 181,884.66 : x
  2. Step 2: Convert to fraction form
    133,130.67/181,884.66 = 181,884.66/x
  3. Step 3: Cross multiply
    133,130.67x = 181,884.66 × 181,884.66
  4. Step 4: Simplify right side
    133,130.67x = 33,082,028,179.18
  5. Step 5: Solve for x
    x = 33,082,028,179.18/133,130.67
  6. Step 6: Final answer
    x = 248,492.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.