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Finding the Third Proportional to 75,946.50 and 156,755.25

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Solution

The third proportional to 75,946.50 and 156,755.25 is: 323,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,946.50 : 156,755.25 = 156,755.25 : x
  2. Step 2: Convert to fraction form
    75,946.50/156,755.25 = 156,755.25/x
  3. Step 3: Cross multiply
    75,946.50x = 156,755.25 × 156,755.25
  4. Step 4: Simplify right side
    75,946.50x = 24,572,208,402.56
  5. Step 5: Solve for x
    x = 24,572,208,402.56/75,946.50
  6. Step 6: Final answer
    x = 323,546.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.