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Finding the Third Proportional to 103,943 and 156,855

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Solution

The third proportional to 103,943 and 156,855 is: 236,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,943 : 156,855 = 156,855 : x
  2. Step 2: Convert to fraction form
    103,943/156,855 = 156,855/x
  3. Step 3: Cross multiply
    103,943x = 156,855 × 156,855
  4. Step 4: Simplify right side
    103,943x = 24,603,491,025
  5. Step 5: Solve for x
    x = 24,603,491,025/103,943
  6. Step 6: Final answer
    x = 236,701.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.