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Finding the Third Proportional to 64,194.75 and 143,141.63

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Solution

The third proportional to 64,194.75 and 143,141.63 is: 319,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194.75 : 143,141.63 = 143,141.63 : x
  2. Step 2: Convert to fraction form
    64,194.75/143,141.63 = 143,141.63/x
  3. Step 3: Cross multiply
    64,194.75x = 143,141.63 × 143,141.63
  4. Step 4: Simplify right side
    64,194.75x = 20,489,524,807.64
  5. Step 5: Solve for x
    x = 20,489,524,807.64/64,194.75
  6. Step 6: Final answer
    x = 319,177.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.