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Finding the Third Proportional to 78,868.88 and 119,244

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Solution

The third proportional to 78,868.88 and 119,244 is: 180,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,868.88 : 119,244 = 119,244 : x
  2. Step 2: Convert to fraction form
    78,868.88/119,244 = 119,244/x
  3. Step 3: Cross multiply
    78,868.88x = 119,244 × 119,244
  4. Step 4: Simplify right side
    78,868.88x = 14,219,131,536
  5. Step 5: Solve for x
    x = 14,219,131,536/78,868.88
  6. Step 6: Final answer
    x = 180,288.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.