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Finding the Third Proportional to 120,946.13 and 181,464.75

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Solution

The third proportional to 120,946.13 and 181,464.75 is: 272,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,946.13 : 181,464.75 = 181,464.75 : x
  2. Step 2: Convert to fraction form
    120,946.13/181,464.75 = 181,464.75/x
  3. Step 3: Cross multiply
    120,946.13x = 181,464.75 × 181,464.75
  4. Step 4: Simplify right side
    120,946.13x = 32,929,455,492.56
  5. Step 5: Solve for x
    x = 32,929,455,492.56/120,946.13
  6. Step 6: Final answer
    x = 272,265.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.