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Finding the Third Proportional to 100,072.50 and 154,784

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Solution

The third proportional to 100,072.50 and 154,784 is: 239,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,072.50 : 154,784 = 154,784 : x
  2. Step 2: Convert to fraction form
    100,072.50/154,784 = 154,784/x
  3. Step 3: Cross multiply
    100,072.50x = 154,784 × 154,784
  4. Step 4: Simplify right side
    100,072.50x = 23,958,086,656
  5. Step 5: Solve for x
    x = 23,958,086,656/100,072.50
  6. Step 6: Final answer
    x = 239,407.30

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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.