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Finding the Third Proportional to 77,824.50 and 117,049.50

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Solution

The third proportional to 77,824.50 and 117,049.50 is: 176,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,824.50 : 117,049.50 = 117,049.50 : x
  2. Step 2: Convert to fraction form
    77,824.50/117,049.50 = 117,049.50/x
  3. Step 3: Cross multiply
    77,824.50x = 117,049.50 × 117,049.50
  4. Step 4: Simplify right side
    77,824.50x = 13,700,585,450.25
  5. Step 5: Solve for x
    x = 13,700,585,450.25/77,824.50
  6. Step 6: Final answer
    x = 176,044.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.