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Finding the Third Proportional to 64,273.50 and 142,296.75

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Solution

The third proportional to 64,273.50 and 142,296.75 is: 315,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,273.50 : 142,296.75 = 142,296.75 : x
  2. Step 2: Convert to fraction form
    64,273.50/142,296.75 = 142,296.75/x
  3. Step 3: Cross multiply
    64,273.50x = 142,296.75 × 142,296.75
  4. Step 4: Simplify right side
    64,273.50x = 20,248,365,060.56
  5. Step 5: Solve for x
    x = 20,248,365,060.56/64,273.50
  6. Step 6: Final answer
    x = 315,034.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.