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Finding the Third Proportional to 82,937 and 125,093

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Solution

The third proportional to 82,937 and 125,093 is: 188,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,937 : 125,093 = 125,093 : x
  2. Step 2: Convert to fraction form
    82,937/125,093 = 125,093/x
  3. Step 3: Cross multiply
    82,937x = 125,093 × 125,093
  4. Step 4: Simplify right side
    82,937x = 15,648,258,649
  5. Step 5: Solve for x
    x = 15,648,258,649/82,937
  6. Step 6: Final answer
    x = 188,676.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.