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Finding the Third Proportional to 94,432 and 144,926

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Solution

The third proportional to 94,432 and 144,926 is: 222,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,432 : 144,926 = 144,926 : x
  2. Step 2: Convert to fraction form
    94,432/144,926 = 144,926/x
  3. Step 3: Cross multiply
    94,432x = 144,926 × 144,926
  4. Step 4: Simplify right side
    94,432x = 21,003,545,476
  5. Step 5: Solve for x
    x = 21,003,545,476/94,432
  6. Step 6: Final answer
    x = 222,419.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.