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Finding the Third Proportional to 68,951.25 and 97,571.25

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Solution

The third proportional to 68,951.25 and 97,571.25 is: 138,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,951.25 : 97,571.25 = 97,571.25 : x
  2. Step 2: Convert to fraction form
    68,951.25/97,571.25 = 97,571.25/x
  3. Step 3: Cross multiply
    68,951.25x = 97,571.25 × 97,571.25
  4. Step 4: Simplify right side
    68,951.25x = 9,520,148,826.56
  5. Step 5: Solve for x
    x = 9,520,148,826.56/68,951.25
  6. Step 6: Final answer
    x = 138,070.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.