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Finding the Third Proportional to 64,048.50 and 96,279

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Solution

The third proportional to 64,048.50 and 96,279 is: 144,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,048.50 : 96,279 = 96,279 : x
  2. Step 2: Convert to fraction form
    64,048.50/96,279 = 96,279/x
  3. Step 3: Cross multiply
    64,048.50x = 96,279 × 96,279
  4. Step 4: Simplify right side
    64,048.50x = 9,269,645,841
  5. Step 5: Solve for x
    x = 9,269,645,841/64,048.50
  6. Step 6: Final answer
    x = 144,728.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.