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Finding the Third Proportional to 104,444 and 156,207

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Solution

The third proportional to 104,444 and 156,207 is: 233,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,444 : 156,207 = 156,207 : x
  2. Step 2: Convert to fraction form
    104,444/156,207 = 156,207/x
  3. Step 3: Cross multiply
    104,444x = 156,207 × 156,207
  4. Step 4: Simplify right side
    104,444x = 24,400,626,849
  5. Step 5: Solve for x
    x = 24,400,626,849/104,444
  6. Step 6: Final answer
    x = 233,624.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.