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Finding the Third Proportional to 75,222.84 and 116,850.94

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Solution

The third proportional to 75,222.84 and 116,850.94 is: 181,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,222.84 : 116,850.94 = 116,850.94 : x
  2. Step 2: Convert to fraction form
    75,222.84/116,850.94 = 116,850.94/x
  3. Step 3: Cross multiply
    75,222.84x = 116,850.94 × 116,850.94
  4. Step 4: Simplify right side
    75,222.84x = 13,654,141,594.63
  5. Step 5: Solve for x
    x = 13,654,141,594.63/75,222.84
  6. Step 6: Final answer
    x = 181,515.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.