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Finding the Third Proportional to 34,749 and 76,264.03

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Solution

The third proportional to 34,749 and 76,264.03 is: 167,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,749 : 76,264.03 = 76,264.03 : x
  2. Step 2: Convert to fraction form
    34,749/76,264.03 = 76,264.03/x
  3. Step 3: Cross multiply
    34,749x = 76,264.03 × 76,264.03
  4. Step 4: Simplify right side
    34,749x = 5,816,202,462.50
  5. Step 5: Solve for x
    x = 5,816,202,462.50/34,749
  6. Step 6: Final answer
    x = 167,377.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.