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Finding the Third Proportional to 72,749 and 109,772

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Solution

The third proportional to 72,749 and 109,772 is: 165,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,749 : 109,772 = 109,772 : x
  2. Step 2: Convert to fraction form
    72,749/109,772 = 109,772/x
  3. Step 3: Cross multiply
    72,749x = 109,772 × 109,772
  4. Step 4: Simplify right side
    72,749x = 12,049,891,984
  5. Step 5: Solve for x
    x = 12,049,891,984/72,749
  6. Step 6: Final answer
    x = 165,636.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.