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Finding the Third Proportional to 69,579 and 152,154

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Solution

The third proportional to 69,579 and 152,154 is: 332,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,579 : 152,154 = 152,154 : x
  2. Step 2: Convert to fraction form
    69,579/152,154 = 152,154/x
  3. Step 3: Cross multiply
    69,579x = 152,154 × 152,154
  4. Step 4: Simplify right side
    69,579x = 23,150,839,716
  5. Step 5: Solve for x
    x = 23,150,839,716/69,579
  6. Step 6: Final answer
    x = 332,727.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.