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Finding the Third Proportional to 105,051.75 and 157,683

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Solution

The third proportional to 105,051.75 and 157,683 is: 236,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,051.75 : 157,683 = 157,683 : x
  2. Step 2: Convert to fraction form
    105,051.75/157,683 = 157,683/x
  3. Step 3: Cross multiply
    105,051.75x = 157,683 × 157,683
  4. Step 4: Simplify right side
    105,051.75x = 24,863,928,489
  5. Step 5: Solve for x
    x = 24,863,928,489/105,051.75
  6. Step 6: Final answer
    x = 236,682.67

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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.