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Finding the Third Proportional to 81,619.50 and 119,634

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Solution

The third proportional to 81,619.50 and 119,634 is: 175,353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,619.50 : 119,634 = 119,634 : x
  2. Step 2: Convert to fraction form
    81,619.50/119,634 = 119,634/x
  3. Step 3: Cross multiply
    81,619.50x = 119,634 × 119,634
  4. Step 4: Simplify right side
    81,619.50x = 14,312,293,956
  5. Step 5: Solve for x
    x = 14,312,293,956/81,619.50
  6. Step 6: Final answer
    x = 175,353.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.