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Finding the Third Proportional to 72,796 and 156,752

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Solution

The third proportional to 72,796 and 156,752 is: 337,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796 : 156,752 = 156,752 : x
  2. Step 2: Convert to fraction form
    72,796/156,752 = 156,752/x
  3. Step 3: Cross multiply
    72,796x = 156,752 × 156,752
  4. Step 4: Simplify right side
    72,796x = 24,571,189,504
  5. Step 5: Solve for x
    x = 24,571,189,504/72,796
  6. Step 6: Final answer
    x = 337,534.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.