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Finding the Third Proportional to 64,850.63 and 141,063.75

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Solution

The third proportional to 64,850.63 and 141,063.75 is: 306,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,850.63 : 141,063.75 = 141,063.75 : x
  2. Step 2: Convert to fraction form
    64,850.63/141,063.75 = 141,063.75/x
  3. Step 3: Cross multiply
    64,850.63x = 141,063.75 × 141,063.75
  4. Step 4: Simplify right side
    64,850.63x = 19,898,981,564.06
  5. Step 5: Solve for x
    x = 19,898,981,564.06/64,850.63
  6. Step 6: Final answer
    x = 306,843.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.