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Finding the Third Proportional to 104,370 and 157,035

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Solution

The third proportional to 104,370 and 157,035 is: 236,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,370 : 157,035 = 157,035 : x
  2. Step 2: Convert to fraction form
    104,370/157,035 = 157,035/x
  3. Step 3: Cross multiply
    104,370x = 157,035 × 157,035
  4. Step 4: Simplify right side
    104,370x = 24,659,991,225
  5. Step 5: Solve for x
    x = 24,659,991,225/104,370
  6. Step 6: Final answer
    x = 236,274.71

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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.