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Finding the Third Proportional to 76,712.06 and 164,084.06

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Solution

The third proportional to 76,712.06 and 164,084.06 is: 350,969.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,712.06 : 164,084.06 = 164,084.06 : x
  2. Step 2: Convert to fraction form
    76,712.06/164,084.06 = 164,084.06/x
  3. Step 3: Cross multiply
    76,712.06x = 164,084.06 × 164,084.06
  4. Step 4: Simplify right side
    76,712.06x = 26,923,579,566.50
  5. Step 5: Solve for x
    x = 26,923,579,566.50/76,712.06
  6. Step 6: Final answer
    x = 350,969.31

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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.