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Finding the Third Proportional to 84,946 and 118,811

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Solution

The third proportional to 84,946 and 118,811 is: 166,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,946 : 118,811 = 118,811 : x
  2. Step 2: Convert to fraction form
    84,946/118,811 = 118,811/x
  3. Step 3: Cross multiply
    84,946x = 118,811 × 118,811
  4. Step 4: Simplify right side
    84,946x = 14,116,053,721
  5. Step 5: Solve for x
    x = 14,116,053,721/84,946
  6. Step 6: Final answer
    x = 166,176.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.