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Finding the Third Proportional to 109,021.50 and 159,943.50

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Solution

The third proportional to 109,021.50 and 159,943.50 is: 234,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,021.50 : 159,943.50 = 159,943.50 : x
  2. Step 2: Convert to fraction form
    109,021.50/159,943.50 = 159,943.50/x
  3. Step 3: Cross multiply
    109,021.50x = 159,943.50 × 159,943.50
  4. Step 4: Simplify right side
    109,021.50x = 25,581,923,192.25
  5. Step 5: Solve for x
    x = 25,581,923,192.25/109,021.50
  6. Step 6: Final answer
    x = 234,650.26

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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.