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Finding the Third Proportional to 70,071 and 100,732.50

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Solution

The third proportional to 70,071 and 100,732.50 is: 144,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,071 : 100,732.50 = 100,732.50 : x
  2. Step 2: Convert to fraction form
    70,071/100,732.50 = 100,732.50/x
  3. Step 3: Cross multiply
    70,071x = 100,732.50 × 100,732.50
  4. Step 4: Simplify right side
    70,071x = 10,147,036,556.25
  5. Step 5: Solve for x
    x = 10,147,036,556.25/70,071
  6. Step 6: Final answer
    x = 144,810.79

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.