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Finding the Third Proportional to 73,154 and 159,700

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Solution

The third proportional to 73,154 and 159,700 is: 348,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,154 : 159,700 = 159,700 : x
  2. Step 2: Convert to fraction form
    73,154/159,700 = 159,700/x
  3. Step 3: Cross multiply
    73,154x = 159,700 × 159,700
  4. Step 4: Simplify right side
    73,154x = 25,504,090,000
  5. Step 5: Solve for x
    x = 25,504,090,000/73,154
  6. Step 6: Final answer
    x = 348,635.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.