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Finding the Third Proportional to 81,713 and 175,089

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Solution

The third proportional to 81,713 and 175,089 is: 375,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713 : 175,089 = 175,089 : x
  2. Step 2: Convert to fraction form
    81,713/175,089 = 175,089/x
  3. Step 3: Cross multiply
    81,713x = 175,089 × 175,089
  4. Step 4: Simplify right side
    81,713x = 30,656,157,921
  5. Step 5: Solve for x
    x = 30,656,157,921/81,713
  6. Step 6: Final answer
    x = 375,168.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.