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Finding the Third Proportional to 103,884 and 155,946

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Solution

The third proportional to 103,884 and 155,946 is: 234,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,884 : 155,946 = 155,946 : x
  2. Step 2: Convert to fraction form
    103,884/155,946 = 155,946/x
  3. Step 3: Cross multiply
    103,884x = 155,946 × 155,946
  4. Step 4: Simplify right side
    103,884x = 24,319,154,916
  5. Step 5: Solve for x
    x = 24,319,154,916/103,884
  6. Step 6: Final answer
    x = 234,099.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.