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Finding the Third Proportional to 77,724 and 166,770

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Solution

The third proportional to 77,724 and 166,770 is: 357,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,724 : 166,770 = 166,770 : x
  2. Step 2: Convert to fraction form
    77,724/166,770 = 166,770/x
  3. Step 3: Cross multiply
    77,724x = 166,770 × 166,770
  4. Step 4: Simplify right side
    77,724x = 27,812,232,900
  5. Step 5: Solve for x
    x = 27,812,232,900/77,724
  6. Step 6: Final answer
    x = 357,833.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.