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Finding the Third Proportional to 104,361 and 158,533.50

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Solution

The third proportional to 104,361 and 158,533.50 is: 240,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,361 : 158,533.50 = 158,533.50 : x
  2. Step 2: Convert to fraction form
    104,361/158,533.50 = 158,533.50/x
  3. Step 3: Cross multiply
    104,361x = 158,533.50 × 158,533.50
  4. Step 4: Simplify right side
    104,361x = 25,132,870,622.25
  5. Step 5: Solve for x
    x = 25,132,870,622.25/104,361
  6. Step 6: Final answer
    x = 240,826.27

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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.