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Finding the Third Proportional to 64,740.75 and 141,249.75

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Solution

The third proportional to 64,740.75 and 141,249.75 is: 308,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,740.75 : 141,249.75 = 141,249.75 : x
  2. Step 2: Convert to fraction form
    64,740.75/141,249.75 = 141,249.75/x
  3. Step 3: Cross multiply
    64,740.75x = 141,249.75 × 141,249.75
  4. Step 4: Simplify right side
    64,740.75x = 19,951,491,875.06
  5. Step 5: Solve for x
    x = 19,951,491,875.06/64,740.75
  6. Step 6: Final answer
    x = 308,175.17

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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.