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Finding the Third Proportional to 44,608 and 71,758

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Solution

The third proportional to 44,608 and 71,758 is: 115,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,608 : 71,758 = 71,758 : x
  2. Step 2: Convert to fraction form
    44,608/71,758 = 71,758/x
  3. Step 3: Cross multiply
    44,608x = 71,758 × 71,758
  4. Step 4: Simplify right side
    44,608x = 5,149,210,564
  5. Step 5: Solve for x
    x = 5,149,210,564/44,608
  6. Step 6: Final answer
    x = 115,432.45

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.