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Finding the Third Proportional to 157,512 and 242,100

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Solution

The third proportional to 157,512 and 242,100 is: 372,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,512 : 242,100 = 242,100 : x
  2. Step 2: Convert to fraction form
    157,512/242,100 = 242,100/x
  3. Step 3: Cross multiply
    157,512x = 242,100 × 242,100
  4. Step 4: Simplify right side
    157,512x = 58,612,410,000
  5. Step 5: Solve for x
    x = 58,612,410,000/157,512
  6. Step 6: Final answer
    x = 372,113.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.