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Finding the Third Proportional to 38,116 and 79,160

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Solution

The third proportional to 38,116 and 79,160 is: 164,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116 : 79,160 = 79,160 : x
  2. Step 2: Convert to fraction form
    38,116/79,160 = 79,160/x
  3. Step 3: Cross multiply
    38,116x = 79,160 × 79,160
  4. Step 4: Simplify right side
    38,116x = 6,266,305,600
  5. Step 5: Solve for x
    x = 6,266,305,600/38,116
  6. Step 6: Final answer
    x = 164,400.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.