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Finding the Third Proportional to 30,160 and 69,872

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Solution

The third proportional to 30,160 and 69,872 is: 161,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,160 : 69,872 = 69,872 : x
  2. Step 2: Convert to fraction form
    30,160/69,872 = 69,872/x
  3. Step 3: Cross multiply
    30,160x = 69,872 × 69,872
  4. Step 4: Simplify right side
    30,160x = 4,882,096,384
  5. Step 5: Solve for x
    x = 4,882,096,384/30,160
  6. Step 6: Final answer
    x = 161,873.22

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.