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Finding the Third Proportional to 118,961 and 191,258

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Solution

The third proportional to 118,961 and 191,258 is: 307,492.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,961 : 191,258 = 191,258 : x
  2. Step 2: Convert to fraction form
    118,961/191,258 = 191,258/x
  3. Step 3: Cross multiply
    118,961x = 191,258 × 191,258
  4. Step 4: Simplify right side
    118,961x = 36,579,622,564
  5. Step 5: Solve for x
    x = 36,579,622,564/118,961
  6. Step 6: Final answer
    x = 307,492.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.