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Finding the Third Proportional to 88,033 and 131,710

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Solution

The third proportional to 88,033 and 131,710 is: 197,057.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,033 : 131,710 = 131,710 : x
  2. Step 2: Convert to fraction form
    88,033/131,710 = 131,710/x
  3. Step 3: Cross multiply
    88,033x = 131,710 × 131,710
  4. Step 4: Simplify right side
    88,033x = 17,347,524,100
  5. Step 5: Solve for x
    x = 17,347,524,100/88,033
  6. Step 6: Final answer
    x = 197,057.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.