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Finding the Third Proportional to 71,672 and 109,980

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Solution

The third proportional to 71,672 and 109,980 is: 168,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,672 : 109,980 = 109,980 : x
  2. Step 2: Convert to fraction form
    71,672/109,980 = 109,980/x
  3. Step 3: Cross multiply
    71,672x = 109,980 × 109,980
  4. Step 4: Simplify right side
    71,672x = 12,095,600,400
  5. Step 5: Solve for x
    x = 12,095,600,400/71,672
  6. Step 6: Final answer
    x = 168,763.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.