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Finding the Third Proportional to 77,035 and 166,705

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Solution

The third proportional to 77,035 and 166,705 is: 360,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,035 : 166,705 = 166,705 : x
  2. Step 2: Convert to fraction form
    77,035/166,705 = 166,705/x
  3. Step 3: Cross multiply
    77,035x = 166,705 × 166,705
  4. Step 4: Simplify right side
    77,035x = 27,790,557,025
  5. Step 5: Solve for x
    x = 27,790,557,025/77,035
  6. Step 6: Final answer
    x = 360,752.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.