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Finding the Third Proportional to 104,320.50 and 156,967.50

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Solution

The third proportional to 104,320.50 and 156,967.50 is: 236,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,320.50 : 156,967.50 = 156,967.50 : x
  2. Step 2: Convert to fraction form
    104,320.50/156,967.50 = 156,967.50/x
  3. Step 3: Cross multiply
    104,320.50x = 156,967.50 × 156,967.50
  4. Step 4: Simplify right side
    104,320.50x = 24,638,796,056.25
  5. Step 5: Solve for x
    x = 24,638,796,056.25/104,320.50
  6. Step 6: Final answer
    x = 236,183.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.