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Finding the Third Proportional to 76,491.84 and 166,592.95

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Solution

The third proportional to 76,491.84 and 166,592.95 is: 362,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,491.84 : 166,592.95 = 166,592.95 : x
  2. Step 2: Convert to fraction form
    76,491.84/166,592.95 = 166,592.95/x
  3. Step 3: Cross multiply
    76,491.84x = 166,592.95 × 166,592.95
  4. Step 4: Simplify right side
    76,491.84x = 27,753,212,030.91
  5. Step 5: Solve for x
    x = 27,753,212,030.91/76,491.84
  6. Step 6: Final answer
    x = 362,825.77

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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.