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Finding the Third Proportional to 78,135 and 161,811

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Solution

The third proportional to 78,135 and 161,811 is: 335,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,135 : 161,811 = 161,811 : x
  2. Step 2: Convert to fraction form
    78,135/161,811 = 161,811/x
  3. Step 3: Cross multiply
    78,135x = 161,811 × 161,811
  4. Step 4: Simplify right side
    78,135x = 26,182,799,721
  5. Step 5: Solve for x
    x = 26,182,799,721/78,135
  6. Step 6: Final answer
    x = 335,096.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.