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Finding the Third Proportional to 65,272 and 143,154

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Solution

The third proportional to 65,272 and 143,154 is: 313,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,272 : 143,154 = 143,154 : x
  2. Step 2: Convert to fraction form
    65,272/143,154 = 143,154/x
  3. Step 3: Cross multiply
    65,272x = 143,154 × 143,154
  4. Step 4: Simplify right side
    65,272x = 20,493,067,716
  5. Step 5: Solve for x
    x = 20,493,067,716/65,272
  6. Step 6: Final answer
    x = 313,964.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.