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Finding the Third Proportional to 104,528.50 and 159,250

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Solution

The third proportional to 104,528.50 and 159,250 is: 242,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,528.50 : 159,250 = 159,250 : x
  2. Step 2: Convert to fraction form
    104,528.50/159,250 = 159,250/x
  3. Step 3: Cross multiply
    104,528.50x = 159,250 × 159,250
  4. Step 4: Simplify right side
    104,528.50x = 25,360,562,500
  5. Step 5: Solve for x
    x = 25,360,562,500/104,528.50
  6. Step 6: Final answer
    x = 242,618.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.