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Finding the Third Proportional to 104,416 and 157,086

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Solution

The third proportional to 104,416 and 157,086 is: 236,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,416 : 157,086 = 157,086 : x
  2. Step 2: Convert to fraction form
    104,416/157,086 = 157,086/x
  3. Step 3: Cross multiply
    104,416x = 157,086 × 157,086
  4. Step 4: Simplify right side
    104,416x = 24,676,011,396
  5. Step 5: Solve for x
    x = 24,676,011,396/104,416
  6. Step 6: Final answer
    x = 236,324.04

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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.