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Finding the Third Proportional to 76,329 and 121,532.06

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Solution

The third proportional to 76,329 and 121,532.06 is: 193,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,329 : 121,532.06 = 121,532.06 : x
  2. Step 2: Convert to fraction form
    76,329/121,532.06 = 121,532.06/x
  3. Step 3: Cross multiply
    76,329x = 121,532.06 × 121,532.06
  4. Step 4: Simplify right side
    76,329x = 14,770,042,215.50
  5. Step 5: Solve for x
    x = 14,770,042,215.50/76,329
  6. Step 6: Final answer
    x = 193,504.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.