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Finding the Third Proportional to 100,855.50 and 156,159

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Solution

The third proportional to 100,855.50 and 156,159 is: 241,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,855.50 : 156,159 = 156,159 : x
  2. Step 2: Convert to fraction form
    100,855.50/156,159 = 156,159/x
  3. Step 3: Cross multiply
    100,855.50x = 156,159 × 156,159
  4. Step 4: Simplify right side
    100,855.50x = 24,385,633,281
  5. Step 5: Solve for x
    x = 24,385,633,281/100,855.50
  6. Step 6: Final answer
    x = 241,787.84

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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.