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Finding the Third Proportional to 103,954 and 158,117

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Solution

The third proportional to 103,954 and 158,117 is: 240,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,954 : 158,117 = 158,117 : x
  2. Step 2: Convert to fraction form
    103,954/158,117 = 158,117/x
  3. Step 3: Cross multiply
    103,954x = 158,117 × 158,117
  4. Step 4: Simplify right side
    103,954x = 25,000,985,689
  5. Step 5: Solve for x
    x = 25,000,985,689/103,954
  6. Step 6: Final answer
    x = 240,500.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.