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Finding the Third Proportional to 38,160 and 84,072

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Solution

The third proportional to 38,160 and 84,072 is: 185,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,160 : 84,072 = 84,072 : x
  2. Step 2: Convert to fraction form
    38,160/84,072 = 84,072/x
  3. Step 3: Cross multiply
    38,160x = 84,072 × 84,072
  4. Step 4: Simplify right side
    38,160x = 7,068,101,184
  5. Step 5: Solve for x
    x = 7,068,101,184/38,160
  6. Step 6: Final answer
    x = 185,222.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.