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Finding the Third Proportional to 84,008 and 161,858

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Solution

The third proportional to 84,008 and 161,858 is: 311,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,008 : 161,858 = 161,858 : x
  2. Step 2: Convert to fraction form
    84,008/161,858 = 161,858/x
  3. Step 3: Cross multiply
    84,008x = 161,858 × 161,858
  4. Step 4: Simplify right side
    84,008x = 26,198,012,164
  5. Step 5: Solve for x
    x = 26,198,012,164/84,008
  6. Step 6: Final answer
    x = 311,851.40

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.