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Finding the Third Proportional to 67,726 and 145,172

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Solution

The third proportional to 67,726 and 145,172 is: 311,179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,726 : 145,172 = 145,172 : x
  2. Step 2: Convert to fraction form
    67,726/145,172 = 145,172/x
  3. Step 3: Cross multiply
    67,726x = 145,172 × 145,172
  4. Step 4: Simplify right side
    67,726x = 21,074,909,584
  5. Step 5: Solve for x
    x = 21,074,909,584/67,726
  6. Step 6: Final answer
    x = 311,179.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.