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Finding the Third Proportional to 105,881.06 and 159,057.84

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Solution

The third proportional to 105,881.06 and 159,057.84 is: 238,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,881.06 : 159,057.84 = 159,057.84 : x
  2. Step 2: Convert to fraction form
    105,881.06/159,057.84 = 159,057.84/x
  3. Step 3: Cross multiply
    105,881.06x = 159,057.84 × 159,057.84
  4. Step 4: Simplify right side
    105,881.06x = 25,299,397,658.40
  5. Step 5: Solve for x
    x = 25,299,397,658.40/105,881.06
  6. Step 6: Final answer
    x = 238,941.67

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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.