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Finding the Third Proportional to 71,232 and 105,749

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Solution

The third proportional to 71,232 and 105,749 is: 156,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,232 : 105,749 = 105,749 : x
  2. Step 2: Convert to fraction form
    71,232/105,749 = 105,749/x
  3. Step 3: Cross multiply
    71,232x = 105,749 × 105,749
  4. Step 4: Simplify right side
    71,232x = 11,182,851,001
  5. Step 5: Solve for x
    x = 11,182,851,001/71,232
  6. Step 6: Final answer
    x = 156,991.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.