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Finding the Third Proportional to 103,106 and 156,819

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Solution

The third proportional to 103,106 and 156,819 is: 238,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,106 : 156,819 = 156,819 : x
  2. Step 2: Convert to fraction form
    103,106/156,819 = 156,819/x
  3. Step 3: Cross multiply
    103,106x = 156,819 × 156,819
  4. Step 4: Simplify right side
    103,106x = 24,592,198,761
  5. Step 5: Solve for x
    x = 24,592,198,761/103,106
  6. Step 6: Final answer
    x = 238,513.75

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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.