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Finding the Third Proportional to 76,963.50 and 122,951.25

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Solution

The third proportional to 76,963.50 and 122,951.25 is: 196,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,963.50 : 122,951.25 = 122,951.25 : x
  2. Step 2: Convert to fraction form
    76,963.50/122,951.25 = 122,951.25/x
  3. Step 3: Cross multiply
    76,963.50x = 122,951.25 × 122,951.25
  4. Step 4: Simplify right side
    76,963.50x = 15,117,009,876.56
  5. Step 5: Solve for x
    x = 15,117,009,876.56/76,963.50
  6. Step 6: Final answer
    x = 196,417.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.