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Finding the Third Proportional to 101,350 and 156,946

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Solution

The third proportional to 101,350 and 156,946 is: 243,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,350 : 156,946 = 156,946 : x
  2. Step 2: Convert to fraction form
    101,350/156,946 = 156,946/x
  3. Step 3: Cross multiply
    101,350x = 156,946 × 156,946
  4. Step 4: Simplify right side
    101,350x = 24,632,046,916
  5. Step 5: Solve for x
    x = 24,632,046,916/101,350
  6. Step 6: Final answer
    x = 243,039.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.