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Finding the Third Proportional to 73,809.50 and 104,010

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Solution

The third proportional to 73,809.50 and 104,010 is: 146,567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,809.50 : 104,010 = 104,010 : x
  2. Step 2: Convert to fraction form
    73,809.50/104,010 = 104,010/x
  3. Step 3: Cross multiply
    73,809.50x = 104,010 × 104,010
  4. Step 4: Simplify right side
    73,809.50x = 10,818,080,100
  5. Step 5: Solve for x
    x = 10,818,080,100/73,809.50
  6. Step 6: Final answer
    x = 146,567.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.