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Finding the Third Proportional to 107,003.53 and 160,212.94

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Solution

The third proportional to 107,003.53 and 160,212.94 is: 239,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,003.53 : 160,212.94 = 160,212.94 : x
  2. Step 2: Convert to fraction form
    107,003.53/160,212.94 = 160,212.94/x
  3. Step 3: Cross multiply
    107,003.53x = 160,212.94 × 160,212.94
  4. Step 4: Simplify right side
    107,003.53x = 25,668,185,342.38
  5. Step 5: Solve for x
    x = 25,668,185,342.38/107,003.53
  6. Step 6: Final answer
    x = 239,881.67

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Why These Related Problems?

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