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Finding the Third Proportional to 76,211.50 and 115,837

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Solution

The third proportional to 76,211.50 and 115,837 is: 176,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211.50 : 115,837 = 115,837 : x
  2. Step 2: Convert to fraction form
    76,211.50/115,837 = 115,837/x
  3. Step 3: Cross multiply
    76,211.50x = 115,837 × 115,837
  4. Step 4: Simplify right side
    76,211.50x = 13,418,210,569
  5. Step 5: Solve for x
    x = 13,418,210,569/76,211.50
  6. Step 6: Final answer
    x = 176,065.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.