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Finding the Third Proportional to 65,400 and 141,162

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Solution

The third proportional to 65,400 and 141,162 is: 304,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,400 : 141,162 = 141,162 : x
  2. Step 2: Convert to fraction form
    65,400/141,162 = 141,162/x
  3. Step 3: Cross multiply
    65,400x = 141,162 × 141,162
  4. Step 4: Simplify right side
    65,400x = 19,926,710,244
  5. Step 5: Solve for x
    x = 19,926,710,244/65,400
  6. Step 6: Final answer
    x = 304,689.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.