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Finding the Third Proportional to 89,238.50 and 131,389

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Solution

The third proportional to 89,238.50 and 131,389 is: 193,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,238.50 : 131,389 = 131,389 : x
  2. Step 2: Convert to fraction form
    89,238.50/131,389 = 131,389/x
  3. Step 3: Cross multiply
    89,238.50x = 131,389 × 131,389
  4. Step 4: Simplify right side
    89,238.50x = 17,263,069,321
  5. Step 5: Solve for x
    x = 17,263,069,321/89,238.50
  6. Step 6: Final answer
    x = 193,448.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.