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Finding the Third Proportional to 121,680 and 162,765

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Solution

The third proportional to 121,680 and 162,765 is: 217,722.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,680 : 162,765 = 162,765 : x
  2. Step 2: Convert to fraction form
    121,680/162,765 = 162,765/x
  3. Step 3: Cross multiply
    121,680x = 162,765 × 162,765
  4. Step 4: Simplify right side
    121,680x = 26,492,445,225
  5. Step 5: Solve for x
    x = 26,492,445,225/121,680
  6. Step 6: Final answer
    x = 217,722.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.