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Finding the Third Proportional to 109,024 and 159,946

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Solution

The third proportional to 109,024 and 159,946 is: 234,652.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,024 : 159,946 = 159,946 : x
  2. Step 2: Convert to fraction form
    109,024/159,946 = 159,946/x
  3. Step 3: Cross multiply
    109,024x = 159,946 × 159,946
  4. Step 4: Simplify right side
    109,024x = 25,582,722,916
  5. Step 5: Solve for x
    x = 25,582,722,916/109,024
  6. Step 6: Final answer
    x = 234,652.21

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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.