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Finding the Third Proportional to 92,740.50 and 125,970.75

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Solution

The third proportional to 92,740.50 and 125,970.75 is: 171,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,740.50 : 125,970.75 = 125,970.75 : x
  2. Step 2: Convert to fraction form
    92,740.50/125,970.75 = 125,970.75/x
  3. Step 3: Cross multiply
    92,740.50x = 125,970.75 × 125,970.75
  4. Step 4: Simplify right side
    92,740.50x = 15,868,629,855.56
  5. Step 5: Solve for x
    x = 15,868,629,855.56/92,740.50
  6. Step 6: Final answer
    x = 171,107.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.