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Finding the Third Proportional to 76,716 and 164,094.75

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Solution

The third proportional to 76,716 and 164,094.75 is: 350,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716 : 164,094.75 = 164,094.75 : x
  2. Step 2: Convert to fraction form
    76,716/164,094.75 = 164,094.75/x
  3. Step 3: Cross multiply
    76,716x = 164,094.75 × 164,094.75
  4. Step 4: Simplify right side
    76,716x = 26,927,086,977.56
  5. Step 5: Solve for x
    x = 26,927,086,977.56/76,716
  6. Step 6: Final answer
    x = 350,997.01

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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.