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Finding the Third Proportional to 109,022 and 159,943

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Solution

The third proportional to 109,022 and 159,943 is: 234,647.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,022 : 159,943 = 159,943 : x
  2. Step 2: Convert to fraction form
    109,022/159,943 = 159,943/x
  3. Step 3: Cross multiply
    109,022x = 159,943 × 159,943
  4. Step 4: Simplify right side
    109,022x = 25,581,763,249
  5. Step 5: Solve for x
    x = 25,581,763,249/109,022
  6. Step 6: Final answer
    x = 234,647.72

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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.