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Finding the Third Proportional to 103,918.50 and 156,621.38

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Solution

The third proportional to 103,918.50 and 156,621.38 is: 236,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,918.50 : 156,621.38 = 156,621.38 : x
  2. Step 2: Convert to fraction form
    103,918.50/156,621.38 = 156,621.38/x
  3. Step 3: Cross multiply
    103,918.50x = 156,621.38 × 156,621.38
  4. Step 4: Simplify right side
    103,918.50x = 24,530,255,106.89
  5. Step 5: Solve for x
    x = 24,530,255,106.89/103,918.50
  6. Step 6: Final answer
    x = 236,052.82

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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.