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Finding the Third Proportional to 121,096 and 186,753

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Solution

The third proportional to 121,096 and 186,753 is: 288,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,096 : 186,753 = 186,753 : x
  2. Step 2: Convert to fraction form
    121,096/186,753 = 186,753/x
  3. Step 3: Cross multiply
    121,096x = 186,753 × 186,753
  4. Step 4: Simplify right side
    121,096x = 34,876,683,009
  5. Step 5: Solve for x
    x = 34,876,683,009/121,096
  6. Step 6: Final answer
    x = 288,008.55

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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.