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Finding the Third Proportional to 111,909.38 and 173,537.06

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Solution

The third proportional to 111,909.38 and 173,537.06 is: 269,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,909.38 : 173,537.06 = 173,537.06 : x
  2. Step 2: Convert to fraction form
    111,909.38/173,537.06 = 173,537.06/x
  3. Step 3: Cross multiply
    111,909.38x = 173,537.06 × 173,537.06
  4. Step 4: Simplify right side
    111,909.38x = 30,115,112,061.13
  5. Step 5: Solve for x
    x = 30,115,112,061.13/111,909.38
  6. Step 6: Final answer
    x = 269,102.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.