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Finding the Third Proportional to 61,524 and 133,719.75

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Solution

The third proportional to 61,524 and 133,719.75 is: 290,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,524 : 133,719.75 = 133,719.75 : x
  2. Step 2: Convert to fraction form
    61,524/133,719.75 = 133,719.75/x
  3. Step 3: Cross multiply
    61,524x = 133,719.75 × 133,719.75
  4. Step 4: Simplify right side
    61,524x = 17,880,971,540.06
  5. Step 5: Solve for x
    x = 17,880,971,540.06/61,524
  6. Step 6: Final answer
    x = 290,634.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.