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Finding the Third Proportional to 76,717 and 164,095

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Solution

The third proportional to 76,717 and 164,095 is: 350,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,717 : 164,095 = 164,095 : x
  2. Step 2: Convert to fraction form
    76,717/164,095 = 164,095/x
  3. Step 3: Cross multiply
    76,717x = 164,095 × 164,095
  4. Step 4: Simplify right side
    76,717x = 26,927,169,025
  5. Step 5: Solve for x
    x = 26,927,169,025/76,717
  6. Step 6: Final answer
    x = 350,993.51

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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.