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Finding the Third Proportional to 112,538 and 175,719

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Solution

The third proportional to 112,538 and 175,719 is: 274,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,538 : 175,719 = 175,719 : x
  2. Step 2: Convert to fraction form
    112,538/175,719 = 175,719/x
  3. Step 3: Cross multiply
    112,538x = 175,719 × 175,719
  4. Step 4: Simplify right side
    112,538x = 30,877,166,961
  5. Step 5: Solve for x
    x = 30,877,166,961/112,538
  6. Step 6: Final answer
    x = 274,371.03

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.