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Finding the Third Proportional to 112,392 and 239,085

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Solution

The third proportional to 112,392 and 239,085 is: 508,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,392 : 239,085 = 239,085 : x
  2. Step 2: Convert to fraction form
    112,392/239,085 = 239,085/x
  3. Step 3: Cross multiply
    112,392x = 239,085 × 239,085
  4. Step 4: Simplify right side
    112,392x = 57,161,637,225
  5. Step 5: Solve for x
    x = 57,161,637,225/112,392
  6. Step 6: Final answer
    x = 508,591.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.