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Finding the Third Proportional to 64,217.25 and 102,273.75

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Solution

The third proportional to 64,217.25 and 102,273.75 is: 162,883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,217.25 : 102,273.75 = 102,273.75 : x
  2. Step 2: Convert to fraction form
    64,217.25/102,273.75 = 102,273.75/x
  3. Step 3: Cross multiply
    64,217.25x = 102,273.75 × 102,273.75
  4. Step 4: Simplify right side
    64,217.25x = 10,459,919,939.06
  5. Step 5: Solve for x
    x = 10,459,919,939.06/64,217.25
  6. Step 6: Final answer
    x = 162,883.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.