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Finding the Third Proportional to 76,134 and 183,193.50

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Solution

The third proportional to 76,134 and 183,193.50 is: 440,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134 : 183,193.50 = 183,193.50 : x
  2. Step 2: Convert to fraction form
    76,134/183,193.50 = 183,193.50/x
  3. Step 3: Cross multiply
    76,134x = 183,193.50 × 183,193.50
  4. Step 4: Simplify right side
    76,134x = 33,559,858,442.25
  5. Step 5: Solve for x
    x = 33,559,858,442.25/76,134
  6. Step 6: Final answer
    x = 440,799.88

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.