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Finding the Third Proportional to 74,946.50 and 156,818

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Solution

The third proportional to 74,946.50 and 156,818 is: 328,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,946.50 : 156,818 = 156,818 : x
  2. Step 2: Convert to fraction form
    74,946.50/156,818 = 156,818/x
  3. Step 3: Cross multiply
    74,946.50x = 156,818 × 156,818
  4. Step 4: Simplify right side
    74,946.50x = 24,591,885,124
  5. Step 5: Solve for x
    x = 24,591,885,124/74,946.50
  6. Step 6: Final answer
    x = 328,125.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.