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Finding the Third Proportional to 92,738.50 and 145,635

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Solution

The third proportional to 92,738.50 and 145,635 is: 228,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,738.50 : 145,635 = 145,635 : x
  2. Step 2: Convert to fraction form
    92,738.50/145,635 = 145,635/x
  3. Step 3: Cross multiply
    92,738.50x = 145,635 × 145,635
  4. Step 4: Simplify right side
    92,738.50x = 21,209,553,225
  5. Step 5: Solve for x
    x = 21,209,553,225/92,738.50
  6. Step 6: Final answer
    x = 228,702.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.